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Finding the Third Proportional to 106,342 and 164,538

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Solution

The third proportional to 106,342 and 164,538 is: 254,581.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,342 : 164,538 = 164,538 : x
  2. Step 2: Convert to fraction form
    106,342/164,538 = 164,538/x
  3. Step 3: Cross multiply
    106,342x = 164,538 × 164,538
  4. Step 4: Simplify right side
    106,342x = 27,072,753,444
  5. Step 5: Solve for x
    x = 27,072,753,444/106,342
  6. Step 6: Final answer
    x = 254,581.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.