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Finding the Third Proportional to 124,344 and 187,555

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Solution

The third proportional to 124,344 and 187,555 is: 282,899.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,344 : 187,555 = 187,555 : x
  2. Step 2: Convert to fraction form
    124,344/187,555 = 187,555/x
  3. Step 3: Cross multiply
    124,344x = 187,555 × 187,555
  4. Step 4: Simplify right side
    124,344x = 35,176,878,025
  5. Step 5: Solve for x
    x = 35,176,878,025/124,344
  6. Step 6: Final answer
    x = 282,899.68

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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.