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Finding the Third Proportional to 84,217 and 123,040

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Solution

The third proportional to 84,217 and 123,040 is: 179,759.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,217 : 123,040 = 123,040 : x
  2. Step 2: Convert to fraction form
    84,217/123,040 = 123,040/x
  3. Step 3: Cross multiply
    84,217x = 123,040 × 123,040
  4. Step 4: Simplify right side
    84,217x = 15,138,841,600
  5. Step 5: Solve for x
    x = 15,138,841,600/84,217
  6. Step 6: Final answer
    x = 179,759.92

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.