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Finding the Third Proportional to 60,689.25 and 132,495.75

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Solution

The third proportional to 60,689.25 and 132,495.75 is: 289,262.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,689.25 : 132,495.75 = 132,495.75 : x
  2. Step 2: Convert to fraction form
    60,689.25/132,495.75 = 132,495.75/x
  3. Step 3: Cross multiply
    60,689.25x = 132,495.75 × 132,495.75
  4. Step 4: Simplify right side
    60,689.25x = 17,555,123,768.06
  5. Step 5: Solve for x
    x = 17,555,123,768.06/60,689.25
  6. Step 6: Final answer
    x = 289,262.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.