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Finding the Third Proportional to 130,663.13 and 195,481.69

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Solution

The third proportional to 130,663.13 and 195,481.69 is: 292,455.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,663.13 : 195,481.69 = 195,481.69 : x
  2. Step 2: Convert to fraction form
    130,663.13/195,481.69 = 195,481.69/x
  3. Step 3: Cross multiply
    130,663.13x = 195,481.69 × 195,481.69
  4. Step 4: Simplify right side
    130,663.13x = 38,213,090,147.85
  5. Step 5: Solve for x
    x = 38,213,090,147.85/130,663.13
  6. Step 6: Final answer
    x = 292,455.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.