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Finding the Third Proportional to 61,566.75 and 132,745.50

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Solution

The third proportional to 61,566.75 and 132,745.50 is: 286,215.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,566.75 : 132,745.50 = 132,745.50 : x
  2. Step 2: Convert to fraction form
    61,566.75/132,745.50 = 132,745.50/x
  3. Step 3: Cross multiply
    61,566.75x = 132,745.50 × 132,745.50
  4. Step 4: Simplify right side
    61,566.75x = 17,621,367,770.25
  5. Step 5: Solve for x
    x = 17,621,367,770.25/61,566.75
  6. Step 6: Final answer
    x = 286,215.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.