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Finding the Third Proportional to 69,456.50 and 94,112

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Solution

The third proportional to 69,456.50 and 94,112 is: 127,519.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,456.50 : 94,112 = 94,112 : x
  2. Step 2: Convert to fraction form
    69,456.50/94,112 = 94,112/x
  3. Step 3: Cross multiply
    69,456.50x = 94,112 × 94,112
  4. Step 4: Simplify right side
    69,456.50x = 8,857,068,544
  5. Step 5: Solve for x
    x = 8,857,068,544/69,456.50
  6. Step 6: Final answer
    x = 127,519.65

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.