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Finding the Third Proportional to 41,280 and 87,888

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Solution

The third proportional to 41,280 and 87,888 is: 187,119.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,280 : 87,888 = 87,888 : x
  2. Step 2: Convert to fraction form
    41,280/87,888 = 87,888/x
  3. Step 3: Cross multiply
    41,280x = 87,888 × 87,888
  4. Step 4: Simplify right side
    41,280x = 7,724,300,544
  5. Step 5: Solve for x
    x = 7,724,300,544/41,280
  6. Step 6: Final answer
    x = 187,119.68

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.