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Finding the Third Proportional to 71,728.88 and 157,609.13

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Solution

The third proportional to 71,728.88 and 157,609.13 is: 346,312.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,728.88 : 157,609.13 = 157,609.13 : x
  2. Step 2: Convert to fraction form
    71,728.88/157,609.13 = 157,609.13/x
  3. Step 3: Cross multiply
    71,728.88x = 157,609.13 × 157,609.13
  4. Step 4: Simplify right side
    71,728.88x = 24,840,636,283.27
  5. Step 5: Solve for x
    x = 24,840,636,283.27/71,728.88
  6. Step 6: Final answer
    x = 346,312.92

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.