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Finding the Third Proportional to 121,174.73 and 185,042.60

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Solution

The third proportional to 121,174.73 and 185,042.60 is: 282,573.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,174.73 : 185,042.60 = 185,042.60 : x
  2. Step 2: Convert to fraction form
    121,174.73/185,042.60 = 185,042.60/x
  3. Step 3: Cross multiply
    121,174.73x = 185,042.60 × 185,042.60
  4. Step 4: Simplify right side
    121,174.73x = 34,240,764,393.02
  5. Step 5: Solve for x
    x = 34,240,764,393.02/121,174.73
  6. Step 6: Final answer
    x = 282,573.46

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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.