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Finding the Third Proportional to 124,164 and 171,387

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Solution

The third proportional to 124,164 and 171,387 is: 236,570.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,164 : 171,387 = 171,387 : x
  2. Step 2: Convert to fraction form
    124,164/171,387 = 171,387/x
  3. Step 3: Cross multiply
    124,164x = 171,387 × 171,387
  4. Step 4: Simplify right side
    124,164x = 29,373,503,769
  5. Step 5: Solve for x
    x = 29,373,503,769/124,164
  6. Step 6: Final answer
    x = 236,570.21

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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.