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Finding the Third Proportional to 71,539.31 and 110,669.91

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Solution

The third proportional to 71,539.31 and 110,669.91 is: 171,204.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,539.31 : 110,669.91 = 110,669.91 : x
  2. Step 2: Convert to fraction form
    71,539.31/110,669.91 = 110,669.91/x
  3. Step 3: Cross multiply
    71,539.31x = 110,669.91 × 110,669.91
  4. Step 4: Simplify right side
    71,539.31x = 12,247,828,149.38
  5. Step 5: Solve for x
    x = 12,247,828,149.38/71,539.31
  6. Step 6: Final answer
    x = 171,204.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.