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Finding the Third Proportional to 130,789.69 and 185,119.17

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Solution

The third proportional to 130,789.69 and 185,119.17 is: 262,016.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,789.69 : 185,119.17 = 185,119.17 : x
  2. Step 2: Convert to fraction form
    130,789.69/185,119.17 = 185,119.17/x
  3. Step 3: Cross multiply
    130,789.69x = 185,119.17 × 185,119.17
  4. Step 4: Simplify right side
    130,789.69x = 34,269,107,795.69
  5. Step 5: Solve for x
    x = 34,269,107,795.69/130,789.69
  6. Step 6: Final answer
    x = 262,016.89

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.