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Finding the Third Proportional to 67,348 and 105,649

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Solution

The third proportional to 67,348 and 105,649 is: 165,731.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,348 : 105,649 = 105,649 : x
  2. Step 2: Convert to fraction form
    67,348/105,649 = 105,649/x
  3. Step 3: Cross multiply
    67,348x = 105,649 × 105,649
  4. Step 4: Simplify right side
    67,348x = 11,161,711,201
  5. Step 5: Solve for x
    x = 11,161,711,201/67,348
  6. Step 6: Final answer
    x = 165,731.89

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.