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Finding the Third Proportional to 47,668 and 75,596

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Solution

The third proportional to 47,668 and 75,596 is: 119,886.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,668 : 75,596 = 75,596 : x
  2. Step 2: Convert to fraction form
    47,668/75,596 = 75,596/x
  3. Step 3: Cross multiply
    47,668x = 75,596 × 75,596
  4. Step 4: Simplify right side
    47,668x = 5,714,755,216
  5. Step 5: Solve for x
    x = 5,714,755,216/47,668
  6. Step 6: Final answer
    x = 119,886.62

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.