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Finding the Third Proportional to 66,972 and 103,699

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Solution

The third proportional to 66,972 and 103,699 is: 160,566.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,972 : 103,699 = 103,699 : x
  2. Step 2: Convert to fraction form
    66,972/103,699 = 103,699/x
  3. Step 3: Cross multiply
    66,972x = 103,699 × 103,699
  4. Step 4: Simplify right side
    66,972x = 10,753,482,601
  5. Step 5: Solve for x
    x = 10,753,482,601/66,972
  6. Step 6: Final answer
    x = 160,566.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.