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Finding the Third Proportional to 69,278.25 and 111,567

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Solution

The third proportional to 69,278.25 and 111,567 is: 179,669.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,278.25 : 111,567 = 111,567 : x
  2. Step 2: Convert to fraction form
    69,278.25/111,567 = 111,567/x
  3. Step 3: Cross multiply
    69,278.25x = 111,567 × 111,567
  4. Step 4: Simplify right side
    69,278.25x = 12,447,195,489
  5. Step 5: Solve for x
    x = 12,447,195,489/69,278.25
  6. Step 6: Final answer
    x = 179,669.60

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.