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Finding the Third Proportional to 71,708.77 and 157,572.28

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Solution

The third proportional to 71,708.77 and 157,572.28 is: 346,248.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,708.77 : 157,572.28 = 157,572.28 : x
  2. Step 2: Convert to fraction form
    71,708.77/157,572.28 = 157,572.28/x
  3. Step 3: Cross multiply
    71,708.77x = 157,572.28 × 157,572.28
  4. Step 4: Simplify right side
    71,708.77x = 24,829,023,818.33
  5. Step 5: Solve for x
    x = 24,829,023,818.33/71,708.77
  6. Step 6: Final answer
    x = 346,248.10

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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.