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Finding the Third Proportional to 62,856 and 96,471

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Solution

The third proportional to 62,856 and 96,471 is: 148,063.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,856 : 96,471 = 96,471 : x
  2. Step 2: Convert to fraction form
    62,856/96,471 = 96,471/x
  3. Step 3: Cross multiply
    62,856x = 96,471 × 96,471
  4. Step 4: Simplify right side
    62,856x = 9,306,653,841
  5. Step 5: Solve for x
    x = 9,306,653,841/62,856
  6. Step 6: Final answer
    x = 148,063.09

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.