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Finding the Third Proportional to 58,862 and 125,311

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Solution

The third proportional to 58,862 and 125,311 is: 266,773.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,862 : 125,311 = 125,311 : x
  2. Step 2: Convert to fraction form
    58,862/125,311 = 125,311/x
  3. Step 3: Cross multiply
    58,862x = 125,311 × 125,311
  4. Step 4: Simplify right side
    58,862x = 15,702,846,721
  5. Step 5: Solve for x
    x = 15,702,846,721/58,862
  6. Step 6: Final answer
    x = 266,773.92

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.