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Finding the Third Proportional to 71,146 and 95,475

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Solution

The third proportional to 71,146 and 95,475 is: 128,123.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,146 : 95,475 = 95,475 : x
  2. Step 2: Convert to fraction form
    71,146/95,475 = 95,475/x
  3. Step 3: Cross multiply
    71,146x = 95,475 × 95,475
  4. Step 4: Simplify right side
    71,146x = 9,115,475,625
  5. Step 5: Solve for x
    x = 9,115,475,625/71,146
  6. Step 6: Final answer
    x = 128,123.52

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.