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Finding the Third Proportional to 75,816.38 and 112,246.13

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Solution

The third proportional to 75,816.38 and 112,246.13 is: 166,180.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,816.38 : 112,246.13 = 112,246.13 : x
  2. Step 2: Convert to fraction form
    75,816.38/112,246.13 = 112,246.13/x
  3. Step 3: Cross multiply
    75,816.38x = 112,246.13 × 112,246.13
  4. Step 4: Simplify right side
    75,816.38x = 12,599,192,577.52
  5. Step 5: Solve for x
    x = 12,599,192,577.52/75,816.38
  6. Step 6: Final answer
    x = 166,180.36

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.