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Finding the Third Proportional to 125,292 and 269,970

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Solution

The third proportional to 125,292 and 269,970 is: 581,711.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,292 : 269,970 = 269,970 : x
  2. Step 2: Convert to fraction form
    125,292/269,970 = 269,970/x
  3. Step 3: Cross multiply
    125,292x = 269,970 × 269,970
  4. Step 4: Simplify right side
    125,292x = 72,883,800,900
  5. Step 5: Solve for x
    x = 72,883,800,900/125,292
  6. Step 6: Final answer
    x = 581,711.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.