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Finding the Third Proportional to 69,069.90 and 152,657.16

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Solution

The third proportional to 69,069.90 and 152,657.16 is: 337,400.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,069.90 : 152,657.16 = 152,657.16 : x
  2. Step 2: Convert to fraction form
    69,069.90/152,657.16 = 152,657.16/x
  3. Step 3: Cross multiply
    69,069.90x = 152,657.16 × 152,657.16
  4. Step 4: Simplify right side
    69,069.90x = 23,304,207,354.34
  5. Step 5: Solve for x
    x = 23,304,207,354.34/69,069.90
  6. Step 6: Final answer
    x = 337,400.32

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.