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Finding the Third Proportional to 130,394 and 195,105

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Solution

The third proportional to 130,394 and 195,105 is: 291,930.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,394 : 195,105 = 195,105 : x
  2. Step 2: Convert to fraction form
    130,394/195,105 = 195,105/x
  3. Step 3: Cross multiply
    130,394x = 195,105 × 195,105
  4. Step 4: Simplify right side
    130,394x = 38,065,961,025
  5. Step 5: Solve for x
    x = 38,065,961,025/130,394
  6. Step 6: Final answer
    x = 291,930.31

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