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Finding the Third Proportional to 87,505 and 132,058

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Solution

The third proportional to 87,505 and 132,058 is: 199,295.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,505 : 132,058 = 132,058 : x
  2. Step 2: Convert to fraction form
    87,505/132,058 = 132,058/x
  3. Step 3: Cross multiply
    87,505x = 132,058 × 132,058
  4. Step 4: Simplify right side
    87,505x = 17,439,315,364
  5. Step 5: Solve for x
    x = 17,439,315,364/87,505
  6. Step 6: Final answer
    x = 199,295.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.