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Finding the Third Proportional to 73,851.75 and 114,571.13

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Solution

The third proportional to 73,851.75 and 114,571.13 is: 177,741.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,851.75 : 114,571.13 = 114,571.13 : x
  2. Step 2: Convert to fraction form
    73,851.75/114,571.13 = 114,571.13/x
  3. Step 3: Cross multiply
    73,851.75x = 114,571.13 × 114,571.13
  4. Step 4: Simplify right side
    73,851.75x = 13,126,542,683.77
  5. Step 5: Solve for x
    x = 13,126,542,683.77/73,851.75
  6. Step 6: Final answer
    x = 177,741.80

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Why These Related Problems?

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