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Finding the Third Proportional to 84,129.25 and 185,335.75

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Solution

The third proportional to 84,129.25 and 185,335.75 is: 408,292.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,129.25 : 185,335.75 = 185,335.75 : x
  2. Step 2: Convert to fraction form
    84,129.25/185,335.75 = 185,335.75/x
  3. Step 3: Cross multiply
    84,129.25x = 185,335.75 × 185,335.75
  4. Step 4: Simplify right side
    84,129.25x = 34,349,340,228.06
  5. Step 5: Solve for x
    x = 34,349,340,228.06/84,129.25
  6. Step 6: Final answer
    x = 408,292.48

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.