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Finding the Third Proportional to 87,840 and 136,216

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Solution

The third proportional to 87,840 and 136,216 is: 211,234.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,840 : 136,216 = 136,216 : x
  2. Step 2: Convert to fraction form
    87,840/136,216 = 136,216/x
  3. Step 3: Cross multiply
    87,840x = 136,216 × 136,216
  4. Step 4: Simplify right side
    87,840x = 18,554,798,656
  5. Step 5: Solve for x
    x = 18,554,798,656/87,840
  6. Step 6: Final answer
    x = 211,234.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.