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Finding the Third Proportional to 92,482 and 143,478

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Solution

The third proportional to 92,482 and 143,478 is: 222,593.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,482 : 143,478 = 143,478 : x
  2. Step 2: Convert to fraction form
    92,482/143,478 = 143,478/x
  3. Step 3: Cross multiply
    92,482x = 143,478 × 143,478
  4. Step 4: Simplify right side
    92,482x = 20,585,936,484
  5. Step 5: Solve for x
    x = 20,585,936,484/92,482
  6. Step 6: Final answer
    x = 222,593.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.