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Finding the Third Proportional to 88,363.50 and 132,257

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Solution

The third proportional to 88,363.50 and 132,257 is: 197,954.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,363.50 : 132,257 = 132,257 : x
  2. Step 2: Convert to fraction form
    88,363.50/132,257 = 132,257/x
  3. Step 3: Cross multiply
    88,363.50x = 132,257 × 132,257
  4. Step 4: Simplify right side
    88,363.50x = 17,491,914,049
  5. Step 5: Solve for x
    x = 17,491,914,049/88,363.50
  6. Step 6: Final answer
    x = 197,954.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.