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Finding the Third Proportional to 50,014.13 and 77,417.44

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Solution

The third proportional to 50,014.13 and 77,417.44 is: 119,835.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,014.13 : 77,417.44 = 77,417.44 : x
  2. Step 2: Convert to fraction form
    50,014.13/77,417.44 = 77,417.44/x
  3. Step 3: Cross multiply
    50,014.13x = 77,417.44 × 77,417.44
  4. Step 4: Simplify right side
    50,014.13x = 5,993,459,629.07
  5. Step 5: Solve for x
    x = 5,993,459,629.07/50,014.13
  6. Step 6: Final answer
    x = 119,835.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.