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Finding the Third Proportional to 125,713 and 272,856

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Solution

The third proportional to 125,713 and 272,856 is: 592,225.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,713 : 272,856 = 272,856 : x
  2. Step 2: Convert to fraction form
    125,713/272,856 = 272,856/x
  3. Step 3: Cross multiply
    125,713x = 272,856 × 272,856
  4. Step 4: Simplify right side
    125,713x = 74,450,396,736
  5. Step 5: Solve for x
    x = 74,450,396,736/125,713
  6. Step 6: Final answer
    x = 592,225.12

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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.