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Finding the Third Proportional to 66,042 and 99,375

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Solution

The third proportional to 66,042 and 99,375 is: 149,531.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,042 : 99,375 = 99,375 : x
  2. Step 2: Convert to fraction form
    66,042/99,375 = 99,375/x
  3. Step 3: Cross multiply
    66,042x = 99,375 × 99,375
  4. Step 4: Simplify right side
    66,042x = 9,875,390,625
  5. Step 5: Solve for x
    x = 9,875,390,625/66,042
  6. Step 6: Final answer
    x = 149,531.97

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Why These Related Problems?

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