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Finding the Third Proportional to 125,017 and 269,717

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Solution

The third proportional to 125,017 and 269,717 is: 581,898.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,017 : 269,717 = 269,717 : x
  2. Step 2: Convert to fraction form
    125,017/269,717 = 269,717/x
  3. Step 3: Cross multiply
    125,017x = 269,717 × 269,717
  4. Step 4: Simplify right side
    125,017x = 72,747,260,089
  5. Step 5: Solve for x
    x = 72,747,260,089/125,017
  6. Step 6: Final answer
    x = 581,898.94

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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.