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Finding the Third Proportional to 69,272 and 104,377

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Solution

The third proportional to 69,272 and 104,377 is: 157,272.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,272 : 104,377 = 104,377 : x
  2. Step 2: Convert to fraction form
    69,272/104,377 = 104,377/x
  3. Step 3: Cross multiply
    69,272x = 104,377 × 104,377
  4. Step 4: Simplify right side
    69,272x = 10,894,558,129
  5. Step 5: Solve for x
    x = 10,894,558,129/69,272
  6. Step 6: Final answer
    x = 157,272.18

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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.