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Finding the Third Proportional to 87,812 and 132,492

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Solution

The third proportional to 87,812 and 132,492 is: 199,905.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,812 : 132,492 = 132,492 : x
  2. Step 2: Convert to fraction form
    87,812/132,492 = 132,492/x
  3. Step 3: Cross multiply
    87,812x = 132,492 × 132,492
  4. Step 4: Simplify right side
    87,812x = 17,554,130,064
  5. Step 5: Solve for x
    x = 17,554,130,064/87,812
  6. Step 6: Final answer
    x = 199,905.82

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.