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Finding the Third Proportional to 48,897 and 87,615

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Solution

The third proportional to 48,897 and 87,615 is: 156,990.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,897 : 87,615 = 87,615 : x
  2. Step 2: Convert to fraction form
    48,897/87,615 = 87,615/x
  3. Step 3: Cross multiply
    48,897x = 87,615 × 87,615
  4. Step 4: Simplify right side
    48,897x = 7,676,388,225
  5. Step 5: Solve for x
    x = 7,676,388,225/48,897
  6. Step 6: Final answer
    x = 156,990.99

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.