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Finding the Third Proportional to 80,132.63 and 171,382.50

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Solution

The third proportional to 80,132.63 and 171,382.50 is: 366,541.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,132.63 : 171,382.50 = 171,382.50 : x
  2. Step 2: Convert to fraction form
    80,132.63/171,382.50 = 171,382.50/x
  3. Step 3: Cross multiply
    80,132.63x = 171,382.50 × 171,382.50
  4. Step 4: Simplify right side
    80,132.63x = 29,371,961,306.25
  5. Step 5: Solve for x
    x = 29,371,961,306.25/80,132.63
  6. Step 6: Final answer
    x = 366,541.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.