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Finding the Third Proportional to 87,415 and 128,230

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Solution

The third proportional to 87,415 and 128,230 is: 188,101.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,415 : 128,230 = 128,230 : x
  2. Step 2: Convert to fraction form
    87,415/128,230 = 128,230/x
  3. Step 3: Cross multiply
    87,415x = 128,230 × 128,230
  4. Step 4: Simplify right side
    87,415x = 16,442,932,900
  5. Step 5: Solve for x
    x = 16,442,932,900/87,415
  6. Step 6: Final answer
    x = 188,101.96

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.