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Finding the Third Proportional to 87,264 and 134,328

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Solution

The third proportional to 87,264 and 134,328 is: 206,774.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,264 : 134,328 = 134,328 : x
  2. Step 2: Convert to fraction form
    87,264/134,328 = 134,328/x
  3. Step 3: Cross multiply
    87,264x = 134,328 × 134,328
  4. Step 4: Simplify right side
    87,264x = 18,044,011,584
  5. Step 5: Solve for x
    x = 18,044,011,584/87,264
  6. Step 6: Final answer
    x = 206,774.98

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.