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Finding the Third Proportional to 69,936.75 and 104,881.13

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Solution

The third proportional to 69,936.75 and 104,881.13 is: 157,285.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,936.75 : 104,881.13 = 104,881.13 : x
  2. Step 2: Convert to fraction form
    69,936.75/104,881.13 = 104,881.13/x
  3. Step 3: Cross multiply
    69,936.75x = 104,881.13 × 104,881.13
  4. Step 4: Simplify right side
    69,936.75x = 11,000,050,381.27
  5. Step 5: Solve for x
    x = 11,000,050,381.27/69,936.75
  6. Step 6: Final answer
    x = 157,285.70

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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.