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Finding the Third Proportional to 65,827.69 and 99,321.19

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Solution

The third proportional to 65,827.69 and 99,321.19 is: 149,856.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,827.69 : 99,321.19 = 99,321.19 : x
  2. Step 2: Convert to fraction form
    65,827.69/99,321.19 = 99,321.19/x
  3. Step 3: Cross multiply
    65,827.69x = 99,321.19 × 99,321.19
  4. Step 4: Simplify right side
    65,827.69x = 9,864,698,286.41
  5. Step 5: Solve for x
    x = 9,864,698,286.41/65,827.69
  6. Step 6: Final answer
    x = 149,856.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.