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Finding the Third Proportional to 60,581.25 and 132,647.63

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Solution

The third proportional to 60,581.25 and 132,647.63 is: 290,442.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,581.25 : 132,647.63 = 132,647.63 : x
  2. Step 2: Convert to fraction form
    60,581.25/132,647.63 = 132,647.63/x
  3. Step 3: Cross multiply
    60,581.25x = 132,647.63 × 132,647.63
  4. Step 4: Simplify right side
    60,581.25x = 17,595,392,418.14
  5. Step 5: Solve for x
    x = 17,595,392,418.14/60,581.25
  6. Step 6: Final answer
    x = 290,442.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.