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Finding the Third Proportional to 118,148.25 and 179,406.75

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Solution

The third proportional to 118,148.25 and 179,406.75 is: 272,427.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,148.25 : 179,406.75 = 179,406.75 : x
  2. Step 2: Convert to fraction form
    118,148.25/179,406.75 = 179,406.75/x
  3. Step 3: Cross multiply
    118,148.25x = 179,406.75 × 179,406.75
  4. Step 4: Simplify right side
    118,148.25x = 32,186,781,945.56
  5. Step 5: Solve for x
    x = 32,186,781,945.56/118,148.25
  6. Step 6: Final answer
    x = 272,427.07

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.