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Finding the Third Proportional to 111,972 and 164,691

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Solution

The third proportional to 111,972 and 164,691 is: 242,231.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,972 : 164,691 = 164,691 : x
  2. Step 2: Convert to fraction form
    111,972/164,691 = 164,691/x
  3. Step 3: Cross multiply
    111,972x = 164,691 × 164,691
  4. Step 4: Simplify right side
    111,972x = 27,123,125,481
  5. Step 5: Solve for x
    x = 27,123,125,481/111,972
  6. Step 6: Final answer
    x = 242,231.32

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.