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Finding the Third Proportional to 84,516.75 and 127,099.13

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Solution

The third proportional to 84,516.75 and 127,099.13 is: 191,135.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,516.75 : 127,099.13 = 127,099.13 : x
  2. Step 2: Convert to fraction form
    84,516.75/127,099.13 = 127,099.13/x
  3. Step 3: Cross multiply
    84,516.75x = 127,099.13 × 127,099.13
  4. Step 4: Simplify right side
    84,516.75x = 16,154,187,575.77
  5. Step 5: Solve for x
    x = 16,154,187,575.77/84,516.75
  6. Step 6: Final answer
    x = 191,135.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.