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Finding the Third Proportional to 52,787 and 115,042

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Solution

The third proportional to 52,787 and 115,042 is: 250,718.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,787 : 115,042 = 115,042 : x
  2. Step 2: Convert to fraction form
    52,787/115,042 = 115,042/x
  3. Step 3: Cross multiply
    52,787x = 115,042 × 115,042
  4. Step 4: Simplify right side
    52,787x = 13,234,661,764
  5. Step 5: Solve for x
    x = 13,234,661,764/52,787
  6. Step 6: Final answer
    x = 250,718.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.