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Finding the Third Proportional to 115,114.50 and 177,589.13

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Solution

The third proportional to 115,114.50 and 177,589.13 is: 273,969.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,114.50 : 177,589.13 = 177,589.13 : x
  2. Step 2: Convert to fraction form
    115,114.50/177,589.13 = 177,589.13/x
  3. Step 3: Cross multiply
    115,114.50x = 177,589.13 × 177,589.13
  4. Step 4: Simplify right side
    115,114.50x = 31,537,897,318.27
  5. Step 5: Solve for x
    x = 31,537,897,318.27/115,114.50
  6. Step 6: Final answer
    x = 273,969.81

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.