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Finding the Third Proportional to 69,952 and 108,288

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Solution

The third proportional to 69,952 and 108,288 is: 167,633.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,952 : 108,288 = 108,288 : x
  2. Step 2: Convert to fraction form
    69,952/108,288 = 108,288/x
  3. Step 3: Cross multiply
    69,952x = 108,288 × 108,288
  4. Step 4: Simplify right side
    69,952x = 11,726,290,944
  5. Step 5: Solve for x
    x = 11,726,290,944/69,952
  6. Step 6: Final answer
    x = 167,633.39

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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.