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Finding the Third Proportional to 81,228.38 and 125,530.31

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Solution

The third proportional to 81,228.38 and 125,530.31 is: 193,994.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,228.38 : 125,530.31 = 125,530.31 : x
  2. Step 2: Convert to fraction form
    81,228.38/125,530.31 = 125,530.31/x
  3. Step 3: Cross multiply
    81,228.38x = 125,530.31 × 125,530.31
  4. Step 4: Simplify right side
    81,228.38x = 15,757,859,356.35
  5. Step 5: Solve for x
    x = 15,757,859,356.35/81,228.38
  6. Step 6: Final answer
    x = 193,994.52

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.