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Finding the Third Proportional to 118,514 and 195,747

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Solution

The third proportional to 118,514 and 195,747 is: 323,311.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,514 : 195,747 = 195,747 : x
  2. Step 2: Convert to fraction form
    118,514/195,747 = 195,747/x
  3. Step 3: Cross multiply
    118,514x = 195,747 × 195,747
  4. Step 4: Simplify right side
    118,514x = 38,316,888,009
  5. Step 5: Solve for x
    x = 38,316,888,009/118,514
  6. Step 6: Final answer
    x = 323,311.07

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.