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Finding the Third Proportional to 87,742 and 128,335

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Solution

The third proportional to 87,742 and 128,335 is: 187,707.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,742 : 128,335 = 128,335 : x
  2. Step 2: Convert to fraction form
    87,742/128,335 = 128,335/x
  3. Step 3: Cross multiply
    87,742x = 128,335 × 128,335
  4. Step 4: Simplify right side
    87,742x = 16,469,872,225
  5. Step 5: Solve for x
    x = 16,469,872,225/87,742
  6. Step 6: Final answer
    x = 187,707.96

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.