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Finding the Third Proportional to 69,687 and 104,688

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Solution

The third proportional to 69,687 and 104,688 is: 157,268.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,687 : 104,688 = 104,688 : x
  2. Step 2: Convert to fraction form
    69,687/104,688 = 104,688/x
  3. Step 3: Cross multiply
    69,687x = 104,688 × 104,688
  4. Step 4: Simplify right side
    69,687x = 10,959,577,344
  5. Step 5: Solve for x
    x = 10,959,577,344/69,687
  6. Step 6: Final answer
    x = 157,268.61

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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.