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Finding the Third Proportional to 27,058 and 62,141

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Solution

The third proportional to 27,058 and 62,141 is: 142,712.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,058 : 62,141 = 62,141 : x
  2. Step 2: Convert to fraction form
    27,058/62,141 = 62,141/x
  3. Step 3: Cross multiply
    27,058x = 62,141 × 62,141
  4. Step 4: Simplify right side
    27,058x = 3,861,503,881
  5. Step 5: Solve for x
    x = 3,861,503,881/27,058
  6. Step 6: Final answer
    x = 142,712.10

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.