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Finding the Third Proportional to 66,952 and 103,756

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Solution

The third proportional to 66,952 and 103,756 is: 160,791.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,952 : 103,756 = 103,756 : x
  2. Step 2: Convert to fraction form
    66,952/103,756 = 103,756/x
  3. Step 3: Cross multiply
    66,952x = 103,756 × 103,756
  4. Step 4: Simplify right side
    66,952x = 10,765,307,536
  5. Step 5: Solve for x
    x = 10,765,307,536/66,952
  6. Step 6: Final answer
    x = 160,791.43

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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.