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Finding the Third Proportional to 125,016 and 269,715

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Solution

The third proportional to 125,016 and 269,715 is: 581,894.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,016 : 269,715 = 269,715 : x
  2. Step 2: Convert to fraction form
    125,016/269,715 = 269,715/x
  3. Step 3: Cross multiply
    125,016x = 269,715 × 269,715
  4. Step 4: Simplify right side
    125,016x = 72,746,181,225
  5. Step 5: Solve for x
    x = 72,746,181,225/125,016
  6. Step 6: Final answer
    x = 581,894.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.