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Finding the Third Proportional to 52,867.69 and 75,610.97

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Solution

The third proportional to 52,867.69 and 75,610.97 is: 108,138.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,867.69 : 75,610.97 = 75,610.97 : x
  2. Step 2: Convert to fraction form
    52,867.69/75,610.97 = 75,610.97/x
  3. Step 3: Cross multiply
    52,867.69x = 75,610.97 × 75,610.97
  4. Step 4: Simplify right side
    52,867.69x = 5,717,018,595.31
  5. Step 5: Solve for x
    x = 5,717,018,595.31/52,867.69
  6. Step 6: Final answer
    x = 108,138.24

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.