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Finding the Third Proportional to 67,494 and 107,269

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Solution

The third proportional to 67,494 and 107,269 is: 170,483.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,494 : 107,269 = 107,269 : x
  2. Step 2: Convert to fraction form
    67,494/107,269 = 107,269/x
  3. Step 3: Cross multiply
    67,494x = 107,269 × 107,269
  4. Step 4: Simplify right side
    67,494x = 11,506,638,361
  5. Step 5: Solve for x
    x = 11,506,638,361/67,494
  6. Step 6: Final answer
    x = 170,483.87

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.