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Finding the Third Proportional to 66,432 and 99,922

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Solution

The third proportional to 66,432 and 99,922 is: 150,295.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,432 : 99,922 = 99,922 : x
  2. Step 2: Convert to fraction form
    66,432/99,922 = 99,922/x
  3. Step 3: Cross multiply
    66,432x = 99,922 × 99,922
  4. Step 4: Simplify right side
    66,432x = 9,984,406,084
  5. Step 5: Solve for x
    x = 9,984,406,084/66,432
  6. Step 6: Final answer
    x = 150,295.13

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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.