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Finding the Third Proportional to 137,765.25 and 207,660.38

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Solution

The third proportional to 137,765.25 and 207,660.38 is: 313,016.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,765.25 : 207,660.38 = 207,660.38 : x
  2. Step 2: Convert to fraction form
    137,765.25/207,660.38 = 207,660.38/x
  3. Step 3: Cross multiply
    137,765.25x = 207,660.38 × 207,660.38
  4. Step 4: Simplify right side
    137,765.25x = 43,122,831,345.14
  5. Step 5: Solve for x
    x = 43,122,831,345.14/137,765.25
  6. Step 6: Final answer
    x = 313,016.75

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.