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Finding the Third Proportional to 31,252 and 67,492

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Solution

The third proportional to 31,252 and 67,492 is: 145,756.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,252 : 67,492 = 67,492 : x
  2. Step 2: Convert to fraction form
    31,252/67,492 = 67,492/x
  3. Step 3: Cross multiply
    31,252x = 67,492 × 67,492
  4. Step 4: Simplify right side
    31,252x = 4,555,170,064
  5. Step 5: Solve for x
    x = 4,555,170,064/31,252
  6. Step 6: Final answer
    x = 145,756.11

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