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Finding the Third Proportional to 71,539.78 and 97,160.53

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Solution

The third proportional to 71,539.78 and 97,160.53 is: 131,956.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,539.78 : 97,160.53 = 97,160.53 : x
  2. Step 2: Convert to fraction form
    71,539.78/97,160.53 = 97,160.53/x
  3. Step 3: Cross multiply
    71,539.78x = 97,160.53 × 97,160.53
  4. Step 4: Simplify right side
    71,539.78x = 9,440,168,832.78
  5. Step 5: Solve for x
    x = 9,440,168,832.78/71,539.78
  6. Step 6: Final answer
    x = 131,956.91

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.