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Finding the Third Proportional to 69,581 and 104,187.75

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Solution

The third proportional to 69,581 and 104,187.75 is: 156,006.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,581 : 104,187.75 = 104,187.75 : x
  2. Step 2: Convert to fraction form
    69,581/104,187.75 = 104,187.75/x
  3. Step 3: Cross multiply
    69,581x = 104,187.75 × 104,187.75
  4. Step 4: Simplify right side
    69,581x = 10,855,087,250.06
  5. Step 5: Solve for x
    x = 10,855,087,250.06/69,581
  6. Step 6: Final answer
    x = 156,006.49

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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.