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Finding the Third Proportional to 96,317.50 and 127,802

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Solution

The third proportional to 96,317.50 and 127,802 is: 169,578.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,317.50 : 127,802 = 127,802 : x
  2. Step 2: Convert to fraction form
    96,317.50/127,802 = 127,802/x
  3. Step 3: Cross multiply
    96,317.50x = 127,802 × 127,802
  4. Step 4: Simplify right side
    96,317.50x = 16,333,351,204
  5. Step 5: Solve for x
    x = 16,333,351,204/96,317.50
  6. Step 6: Final answer
    x = 169,578.23

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.