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Finding the Third Proportional to 71,292 and 110,877

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Solution

The third proportional to 71,292 and 110,877 is: 172,441.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,292 : 110,877 = 110,877 : x
  2. Step 2: Convert to fraction form
    71,292/110,877 = 110,877/x
  3. Step 3: Cross multiply
    71,292x = 110,877 × 110,877
  4. Step 4: Simplify right side
    71,292x = 12,293,709,129
  5. Step 5: Solve for x
    x = 12,293,709,129/71,292
  6. Step 6: Final answer
    x = 172,441.64

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.