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Finding the Third Proportional to 69,952 and 109,112

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Solution

The third proportional to 69,952 and 109,112 is: 170,194.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,952 : 109,112 = 109,112 : x
  2. Step 2: Convert to fraction form
    69,952/109,112 = 109,112/x
  3. Step 3: Cross multiply
    69,952x = 109,112 × 109,112
  4. Step 4: Simplify right side
    69,952x = 11,905,428,544
  5. Step 5: Solve for x
    x = 11,905,428,544/69,952
  6. Step 6: Final answer
    x = 170,194.26

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.