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Finding the Third Proportional to 119,524 and 175,830

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Solution

The third proportional to 119,524 and 175,830 is: 258,660.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,524 : 175,830 = 175,830 : x
  2. Step 2: Convert to fraction form
    119,524/175,830 = 175,830/x
  3. Step 3: Cross multiply
    119,524x = 175,830 × 175,830
  4. Step 4: Simplify right side
    119,524x = 30,916,188,900
  5. Step 5: Solve for x
    x = 30,916,188,900/119,524
  6. Step 6: Final answer
    x = 258,660.93

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.