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Finding the Third Proportional to 67,291 and 105,569

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Solution

The third proportional to 67,291 and 105,569 is: 165,621.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,291 : 105,569 = 105,569 : x
  2. Step 2: Convert to fraction form
    67,291/105,569 = 105,569/x
  3. Step 3: Cross multiply
    67,291x = 105,569 × 105,569
  4. Step 4: Simplify right side
    67,291x = 11,144,813,761
  5. Step 5: Solve for x
    x = 11,144,813,761/67,291
  6. Step 6: Final answer
    x = 165,621.16

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