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Finding the Third Proportional to 82,329.75 and 127,099.13

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Solution

The third proportional to 82,329.75 and 127,099.13 is: 196,213.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,329.75 : 127,099.13 = 127,099.13 : x
  2. Step 2: Convert to fraction form
    82,329.75/127,099.13 = 127,099.13/x
  3. Step 3: Cross multiply
    82,329.75x = 127,099.13 × 127,099.13
  4. Step 4: Simplify right side
    82,329.75x = 16,154,187,575.77
  5. Step 5: Solve for x
    x = 16,154,187,575.77/82,329.75
  6. Step 6: Final answer
    x = 196,213.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.