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Finding the Third Proportional to 45,179 and 67,641

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Solution

The third proportional to 45,179 and 67,641 is: 101,270.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,179 : 67,641 = 67,641 : x
  2. Step 2: Convert to fraction form
    45,179/67,641 = 67,641/x
  3. Step 3: Cross multiply
    45,179x = 67,641 × 67,641
  4. Step 4: Simplify right side
    45,179x = 4,575,304,881
  5. Step 5: Solve for x
    x = 4,575,304,881/45,179
  6. Step 6: Final answer
    x = 101,270.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.