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Finding the Third Proportional to 66,058 and 103,542

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Solution

The third proportional to 66,058 and 103,542 is: 162,295.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,058 : 103,542 = 103,542 : x
  2. Step 2: Convert to fraction form
    66,058/103,542 = 103,542/x
  3. Step 3: Cross multiply
    66,058x = 103,542 × 103,542
  4. Step 4: Simplify right side
    66,058x = 10,720,945,764
  5. Step 5: Solve for x
    x = 10,720,945,764/66,058
  6. Step 6: Final answer
    x = 162,295.95

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.