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Finding the Third Proportional to 115,249.75 and 155,365.13

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Solution

The third proportional to 115,249.75 and 155,365.13 is: 209,443.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,249.75 : 155,365.13 = 155,365.13 : x
  2. Step 2: Convert to fraction form
    115,249.75/155,365.13 = 155,365.13/x
  3. Step 3: Cross multiply
    115,249.75x = 155,365.13 × 155,365.13
  4. Step 4: Simplify right side
    115,249.75x = 24,138,322,066.27
  5. Step 5: Solve for x
    x = 24,138,322,066.27/115,249.75
  6. Step 6: Final answer
    x = 209,443.60

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.