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Finding the Third Proportional to 96,492 and 207,750

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Solution

The third proportional to 96,492 and 207,750 is: 447,291.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,492 : 207,750 = 207,750 : x
  2. Step 2: Convert to fraction form
    96,492/207,750 = 207,750/x
  3. Step 3: Cross multiply
    96,492x = 207,750 × 207,750
  4. Step 4: Simplify right side
    96,492x = 43,160,062,500
  5. Step 5: Solve for x
    x = 43,160,062,500/96,492
  6. Step 6: Final answer
    x = 447,291.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.