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Finding the Third Proportional to 69,270 and 104,374

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Solution

The third proportional to 69,270 and 104,374 is: 157,267.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,270 : 104,374 = 104,374 : x
  2. Step 2: Convert to fraction form
    69,270/104,374 = 104,374/x
  3. Step 3: Cross multiply
    69,270x = 104,374 × 104,374
  4. Step 4: Simplify right side
    69,270x = 10,893,931,876
  5. Step 5: Solve for x
    x = 10,893,931,876/69,270
  6. Step 6: Final answer
    x = 157,267.68

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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.