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Finding the Third Proportional to 71,492 and 157,084

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Solution

The third proportional to 71,492 and 157,084 is: 345,148.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,492 : 157,084 = 157,084 : x
  2. Step 2: Convert to fraction form
    71,492/157,084 = 157,084/x
  3. Step 3: Cross multiply
    71,492x = 157,084 × 157,084
  4. Step 4: Simplify right side
    71,492x = 24,675,383,056
  5. Step 5: Solve for x
    x = 24,675,383,056/71,492
  6. Step 6: Final answer
    x = 345,148.87

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.