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Finding the Third Proportional to 96,311.25 and 127,794.38

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Solution

The third proportional to 96,311.25 and 127,794.38 is: 169,569.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,311.25 : 127,794.38 = 127,794.38 : x
  2. Step 2: Convert to fraction form
    96,311.25/127,794.38 = 127,794.38/x
  3. Step 3: Cross multiply
    96,311.25x = 127,794.38 × 127,794.38
  4. Step 4: Simplify right side
    96,311.25x = 16,331,402,281.64
  5. Step 5: Solve for x
    x = 16,331,402,281.64/96,311.25
  6. Step 6: Final answer
    x = 169,569.00

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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.