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Finding the Third Proportional to 124,538 and 171,255

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Solution

The third proportional to 124,538 and 171,255 is: 235,496.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,538 : 171,255 = 171,255 : x
  2. Step 2: Convert to fraction form
    124,538/171,255 = 171,255/x
  3. Step 3: Cross multiply
    124,538x = 171,255 × 171,255
  4. Step 4: Simplify right side
    124,538x = 29,328,275,025
  5. Step 5: Solve for x
    x = 29,328,275,025/124,538
  6. Step 6: Final answer
    x = 235,496.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.