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Finding the Third Proportional to 69,264 and 104,364

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Solution

The third proportional to 69,264 and 104,364 is: 157,251.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,264 : 104,364 = 104,364 : x
  2. Step 2: Convert to fraction form
    69,264/104,364 = 104,364/x
  3. Step 3: Cross multiply
    69,264x = 104,364 × 104,364
  4. Step 4: Simplify right side
    69,264x = 10,891,844,496
  5. Step 5: Solve for x
    x = 10,891,844,496/69,264
  6. Step 6: Final answer
    x = 157,251.16

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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.