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Finding the Third Proportional to 66,099 and 99,294.75

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Solution

The third proportional to 66,099 and 99,294.75 is: 149,161.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,099 : 99,294.75 = 99,294.75 : x
  2. Step 2: Convert to fraction form
    66,099/99,294.75 = 99,294.75/x
  3. Step 3: Cross multiply
    66,099x = 99,294.75 × 99,294.75
  4. Step 4: Simplify right side
    66,099x = 9,859,447,377.56
  5. Step 5: Solve for x
    x = 9,859,447,377.56/66,099
  6. Step 6: Final answer
    x = 149,161.82

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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.