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Finding the Third Proportional to 75,332.25 and 110,538

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Solution

The third proportional to 75,332.25 and 110,538 is: 162,196.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,332.25 : 110,538 = 110,538 : x
  2. Step 2: Convert to fraction form
    75,332.25/110,538 = 110,538/x
  3. Step 3: Cross multiply
    75,332.25x = 110,538 × 110,538
  4. Step 4: Simplify right side
    75,332.25x = 12,218,649,444
  5. Step 5: Solve for x
    x = 12,218,649,444/75,332.25
  6. Step 6: Final answer
    x = 162,196.79

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.