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Finding the Third Proportional to 69,952 and 107,504

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Solution

The third proportional to 69,952 and 107,504 is: 165,214.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,952 : 107,504 = 107,504 : x
  2. Step 2: Convert to fraction form
    69,952/107,504 = 107,504/x
  3. Step 3: Cross multiply
    69,952x = 107,504 × 107,504
  4. Step 4: Simplify right side
    69,952x = 11,557,110,016
  5. Step 5: Solve for x
    x = 11,557,110,016/69,952
  6. Step 6: Final answer
    x = 165,214.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.