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Finding the Third Proportional to 121,177.69 and 185,046.75

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Solution

The third proportional to 121,177.69 and 185,046.75 is: 282,579.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,177.69 : 185,046.75 = 185,046.75 : x
  2. Step 2: Convert to fraction form
    121,177.69/185,046.75 = 185,046.75/x
  3. Step 3: Cross multiply
    121,177.69x = 185,046.75 × 185,046.75
  4. Step 4: Simplify right side
    121,177.69x = 34,242,299,685.56
  5. Step 5: Solve for x
    x = 34,242,299,685.56/121,177.69
  6. Step 6: Final answer
    x = 282,579.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.