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Finding the Third Proportional to 61,015.25 and 132,525.75

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Solution

The third proportional to 61,015.25 and 132,525.75 is: 287,847.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,015.25 : 132,525.75 = 132,525.75 : x
  2. Step 2: Convert to fraction form
    61,015.25/132,525.75 = 132,525.75/x
  3. Step 3: Cross multiply
    61,015.25x = 132,525.75 × 132,525.75
  4. Step 4: Simplify right side
    61,015.25x = 17,563,074,413.06
  5. Step 5: Solve for x
    x = 17,563,074,413.06/61,015.25
  6. Step 6: Final answer
    x = 287,847.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.