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Finding the Third Proportional to 96,318.75 and 127,804.88

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Solution

The third proportional to 96,318.75 and 127,804.88 is: 169,583.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,318.75 : 127,804.88 = 127,804.88 : x
  2. Step 2: Convert to fraction form
    96,318.75/127,804.88 = 127,804.88/x
  3. Step 3: Cross multiply
    96,318.75x = 127,804.88 × 127,804.88
  4. Step 4: Simplify right side
    96,318.75x = 16,334,086,073.77
  5. Step 5: Solve for x
    x = 16,334,086,073.77/96,318.75
  6. Step 6: Final answer
    x = 169,583.66

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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.