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Finding the Third Proportional to 111,570 and 156,051

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Solution

The third proportional to 111,570 and 156,051 is: 218,265.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,570 : 156,051 = 156,051 : x
  2. Step 2: Convert to fraction form
    111,570/156,051 = 156,051/x
  3. Step 3: Cross multiply
    111,570x = 156,051 × 156,051
  4. Step 4: Simplify right side
    111,570x = 24,351,914,601
  5. Step 5: Solve for x
    x = 24,351,914,601/111,570
  6. Step 6: Final answer
    x = 218,265.79

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.