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Finding the Third Proportional to 113,757 and 167,718

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Solution

The third proportional to 113,757 and 167,718 is: 247,275.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,757 : 167,718 = 167,718 : x
  2. Step 2: Convert to fraction form
    113,757/167,718 = 167,718/x
  3. Step 3: Cross multiply
    113,757x = 167,718 × 167,718
  4. Step 4: Simplify right side
    113,757x = 28,129,327,524
  5. Step 5: Solve for x
    x = 28,129,327,524/113,757
  6. Step 6: Final answer
    x = 247,275.57

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.