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Finding the Third Proportional to 107,931 and 167,549

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Solution

The third proportional to 107,931 and 167,549 is: 260,098.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,931 : 167,549 = 167,549 : x
  2. Step 2: Convert to fraction form
    107,931/167,549 = 167,549/x
  3. Step 3: Cross multiply
    107,931x = 167,549 × 167,549
  4. Step 4: Simplify right side
    107,931x = 28,072,667,401
  5. Step 5: Solve for x
    x = 28,072,667,401/107,931
  6. Step 6: Final answer
    x = 260,098.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.