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Finding the Third Proportional to 125,382 and 261,126

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Solution

The third proportional to 125,382 and 261,126 is: 543,832.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,382 : 261,126 = 261,126 : x
  2. Step 2: Convert to fraction form
    125,382/261,126 = 261,126/x
  3. Step 3: Cross multiply
    125,382x = 261,126 × 261,126
  4. Step 4: Simplify right side
    125,382x = 68,186,787,876
  5. Step 5: Solve for x
    x = 68,186,787,876/125,382
  6. Step 6: Final answer
    x = 543,832.35

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.