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Finding the Third Proportional to 125,472 and 261,312

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Solution

The third proportional to 125,472 and 261,312 is: 544,216.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,472 : 261,312 = 261,312 : x
  2. Step 2: Convert to fraction form
    125,472/261,312 = 261,312/x
  3. Step 3: Cross multiply
    125,472x = 261,312 × 261,312
  4. Step 4: Simplify right side
    125,472x = 68,283,961,344
  5. Step 5: Solve for x
    x = 68,283,961,344/125,472
  6. Step 6: Final answer
    x = 544,216.73

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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.