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Finding the Third Proportional to 61,519.50 and 132,195

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Solution

The third proportional to 61,519.50 and 132,195 is: 284,064.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,519.50 : 132,195 = 132,195 : x
  2. Step 2: Convert to fraction form
    61,519.50/132,195 = 132,195/x
  3. Step 3: Cross multiply
    61,519.50x = 132,195 × 132,195
  4. Step 4: Simplify right side
    61,519.50x = 17,475,518,025
  5. Step 5: Solve for x
    x = 17,475,518,025/61,519.50
  6. Step 6: Final answer
    x = 284,064.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.