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Finding the Third Proportional to 50,284.13 and 80,048.25

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Solution

The third proportional to 50,284.13 and 80,048.25 is: 127,430.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,284.13 : 80,048.25 = 80,048.25 : x
  2. Step 2: Convert to fraction form
    50,284.13/80,048.25 = 80,048.25/x
  3. Step 3: Cross multiply
    50,284.13x = 80,048.25 × 80,048.25
  4. Step 4: Simplify right side
    50,284.13x = 6,407,722,328.06
  5. Step 5: Solve for x
    x = 6,407,722,328.06/50,284.13
  6. Step 6: Final answer
    x = 127,430.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.