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Finding the Third Proportional to 87,656 and 135,774

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Solution

The third proportional to 87,656 and 135,774 is: 210,305.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,656 : 135,774 = 135,774 : x
  2. Step 2: Convert to fraction form
    87,656/135,774 = 135,774/x
  3. Step 3: Cross multiply
    87,656x = 135,774 × 135,774
  4. Step 4: Simplify right side
    87,656x = 18,434,579,076
  5. Step 5: Solve for x
    x = 18,434,579,076/87,656
  6. Step 6: Final answer
    x = 210,305.96

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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.