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Finding the Third Proportional to 58,142 and 125,579

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Solution

The third proportional to 58,142 and 125,579 is: 271,233.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,142 : 125,579 = 125,579 : x
  2. Step 2: Convert to fraction form
    58,142/125,579 = 125,579/x
  3. Step 3: Cross multiply
    58,142x = 125,579 × 125,579
  4. Step 4: Simplify right side
    58,142x = 15,770,085,241
  5. Step 5: Solve for x
    x = 15,770,085,241/58,142
  6. Step 6: Final answer
    x = 271,233.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.