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Finding the Third Proportional to 60,784.50 and 132,634.50

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Solution

The third proportional to 60,784.50 and 132,634.50 is: 289,414.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,784.50 : 132,634.50 = 132,634.50 : x
  2. Step 2: Convert to fraction form
    60,784.50/132,634.50 = 132,634.50/x
  3. Step 3: Cross multiply
    60,784.50x = 132,634.50 × 132,634.50
  4. Step 4: Simplify right side
    60,784.50x = 17,591,910,590.25
  5. Step 5: Solve for x
    x = 17,591,910,590.25/60,784.50
  6. Step 6: Final answer
    x = 289,414.42

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