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Finding the Third Proportional to 87,582 and 124,810

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Solution

The third proportional to 87,582 and 124,810 is: 177,862.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,582 : 124,810 = 124,810 : x
  2. Step 2: Convert to fraction form
    87,582/124,810 = 124,810/x
  3. Step 3: Cross multiply
    87,582x = 124,810 × 124,810
  4. Step 4: Simplify right side
    87,582x = 15,577,536,100
  5. Step 5: Solve for x
    x = 15,577,536,100/87,582
  6. Step 6: Final answer
    x = 177,862.30

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.