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Finding the Third Proportional to 69,143 and 104,349

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Solution

The third proportional to 69,143 and 104,349 is: 157,481.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,143 : 104,349 = 104,349 : x
  2. Step 2: Convert to fraction form
    69,143/104,349 = 104,349/x
  3. Step 3: Cross multiply
    69,143x = 104,349 × 104,349
  4. Step 4: Simplify right side
    69,143x = 10,888,713,801
  5. Step 5: Solve for x
    x = 10,888,713,801/69,143
  6. Step 6: Final answer
    x = 157,481.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.