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Finding the Third Proportional to 125,982 and 273,294

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Solution

The third proportional to 125,982 and 273,294 is: 592,859.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,982 : 273,294 = 273,294 : x
  2. Step 2: Convert to fraction form
    125,982/273,294 = 273,294/x
  3. Step 3: Cross multiply
    125,982x = 273,294 × 273,294
  4. Step 4: Simplify right side
    125,982x = 74,689,610,436
  5. Step 5: Solve for x
    x = 74,689,610,436/125,982
  6. Step 6: Final answer
    x = 592,859.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.