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Finding the Third Proportional to 77,967.56 and 125,565.19

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Solution

The third proportional to 77,967.56 and 125,565.19 is: 202,220.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,967.56 : 125,565.19 = 125,565.19 : x
  2. Step 2: Convert to fraction form
    77,967.56/125,565.19 = 125,565.19/x
  3. Step 3: Cross multiply
    77,967.56x = 125,565.19 × 125,565.19
  4. Step 4: Simplify right side
    77,967.56x = 15,766,616,311.91
  5. Step 5: Solve for x
    x = 15,766,616,311.91/77,967.56
  6. Step 6: Final answer
    x = 202,220.20

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.