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Finding the Third Proportional to 69,706.50 and 104,717.25

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Solution

The third proportional to 69,706.50 and 104,717.25 is: 157,312.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,706.50 : 104,717.25 = 104,717.25 : x
  2. Step 2: Convert to fraction form
    69,706.50/104,717.25 = 104,717.25/x
  3. Step 3: Cross multiply
    69,706.50x = 104,717.25 × 104,717.25
  4. Step 4: Simplify right side
    69,706.50x = 10,965,702,447.56
  5. Step 5: Solve for x
    x = 10,965,702,447.56/69,706.50
  6. Step 6: Final answer
    x = 157,312.48

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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.