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Finding the Third Proportional to 131,582 and 195,105

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Solution

The third proportional to 131,582 and 195,105 is: 289,294.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,582 : 195,105 = 195,105 : x
  2. Step 2: Convert to fraction form
    131,582/195,105 = 195,105/x
  3. Step 3: Cross multiply
    131,582x = 195,105 × 195,105
  4. Step 4: Simplify right side
    131,582x = 38,065,961,025
  5. Step 5: Solve for x
    x = 38,065,961,025/131,582
  6. Step 6: Final answer
    x = 289,294.59

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.