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Finding the Third Proportional to 71,613.28 and 157,526.91

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Solution

The third proportional to 71,613.28 and 157,526.91 is: 346,510.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,613.28 : 157,526.91 = 157,526.91 : x
  2. Step 2: Convert to fraction form
    71,613.28/157,526.91 = 157,526.91/x
  3. Step 3: Cross multiply
    71,613.28x = 157,526.91 × 157,526.91
  4. Step 4: Simplify right side
    71,613.28x = 24,814,726,192.70
  5. Step 5: Solve for x
    x = 24,814,726,192.70/71,613.28
  6. Step 6: Final answer
    x = 346,510.11

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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.