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Finding the Third Proportional to 66,732 and 99,900

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Solution

The third proportional to 66,732 and 99,900 is: 149,553.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,732 : 99,900 = 99,900 : x
  2. Step 2: Convert to fraction form
    66,732/99,900 = 99,900/x
  3. Step 3: Cross multiply
    66,732x = 99,900 × 99,900
  4. Step 4: Simplify right side
    66,732x = 9,980,010,000
  5. Step 5: Solve for x
    x = 9,980,010,000/66,732
  6. Step 6: Final answer
    x = 149,553.59

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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.