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Finding the Third Proportional to 58,244 and 87,919

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Solution

The third proportional to 58,244 and 87,919 is: 132,713.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,244 : 87,919 = 87,919 : x
  2. Step 2: Convert to fraction form
    58,244/87,919 = 87,919/x
  3. Step 3: Cross multiply
    58,244x = 87,919 × 87,919
  4. Step 4: Simplify right side
    58,244x = 7,729,750,561
  5. Step 5: Solve for x
    x = 7,729,750,561/58,244
  6. Step 6: Final answer
    x = 132,713.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.