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Finding the Third Proportional to 75,344 and 119,280

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Solution

The third proportional to 75,344 and 119,280 is: 188,836.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,344 : 119,280 = 119,280 : x
  2. Step 2: Convert to fraction form
    75,344/119,280 = 119,280/x
  3. Step 3: Cross multiply
    75,344x = 119,280 × 119,280
  4. Step 4: Simplify right side
    75,344x = 14,227,718,400
  5. Step 5: Solve for x
    x = 14,227,718,400/75,344
  6. Step 6: Final answer
    x = 188,836.78

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.