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Finding the Third Proportional to 88,492 and 191,059

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Solution

The third proportional to 88,492 and 191,059 is: 412,506.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,492 : 191,059 = 191,059 : x
  2. Step 2: Convert to fraction form
    88,492/191,059 = 191,059/x
  3. Step 3: Cross multiply
    88,492x = 191,059 × 191,059
  4. Step 4: Simplify right side
    88,492x = 36,503,541,481
  5. Step 5: Solve for x
    x = 36,503,541,481/88,492
  6. Step 6: Final answer
    x = 412,506.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.