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Finding the Third Proportional to 36,492 and 75,718

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Solution

The third proportional to 36,492 and 75,718 is: 157,108.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,492 : 75,718 = 75,718 : x
  2. Step 2: Convert to fraction form
    36,492/75,718 = 75,718/x
  3. Step 3: Cross multiply
    36,492x = 75,718 × 75,718
  4. Step 4: Simplify right side
    36,492x = 5,733,215,524
  5. Step 5: Solve for x
    x = 5,733,215,524/36,492
  6. Step 6: Final answer
    x = 157,108.83

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.