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Finding the Third Proportional to 103,976 and 148,691

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Solution

The third proportional to 103,976 and 148,691 is: 212,635.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,976 : 148,691 = 148,691 : x
  2. Step 2: Convert to fraction form
    103,976/148,691 = 148,691/x
  3. Step 3: Cross multiply
    103,976x = 148,691 × 148,691
  4. Step 4: Simplify right side
    103,976x = 22,109,013,481
  5. Step 5: Solve for x
    x = 22,109,013,481/103,976
  6. Step 6: Final answer
    x = 212,635.74

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.