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Finding the Third Proportional to 50,284.13 and 106,400.25

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Solution

The third proportional to 50,284.13 and 106,400.25 is: 225,140.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,284.13 : 106,400.25 = 106,400.25 : x
  2. Step 2: Convert to fraction form
    50,284.13/106,400.25 = 106,400.25/x
  3. Step 3: Cross multiply
    50,284.13x = 106,400.25 × 106,400.25
  4. Step 4: Simplify right side
    50,284.13x = 11,321,013,200.06
  5. Step 5: Solve for x
    x = 11,321,013,200.06/50,284.13
  6. Step 6: Final answer
    x = 225,140.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.