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Finding the Third Proportional to 88,194.50 and 132,490

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Solution

The third proportional to 88,194.50 and 132,490 is: 199,032.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,194.50 : 132,490 = 132,490 : x
  2. Step 2: Convert to fraction form
    88,194.50/132,490 = 132,490/x
  3. Step 3: Cross multiply
    88,194.50x = 132,490 × 132,490
  4. Step 4: Simplify right side
    88,194.50x = 17,553,600,100
  5. Step 5: Solve for x
    x = 17,553,600,100/88,194.50
  6. Step 6: Final answer
    x = 199,032.82

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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.