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Finding the Third Proportional to 25,229 and 59,471

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Solution

The third proportional to 25,229 and 59,471 is: 140,187.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,229 : 59,471 = 59,471 : x
  2. Step 2: Convert to fraction form
    25,229/59,471 = 59,471/x
  3. Step 3: Cross multiply
    25,229x = 59,471 × 59,471
  4. Step 4: Simplify right side
    25,229x = 3,536,799,841
  5. Step 5: Solve for x
    x = 3,536,799,841/25,229
  6. Step 6: Final answer
    x = 140,187.87

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.