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Finding the Third Proportional to 73,285 and 109,496

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Solution

The third proportional to 73,285 and 109,496 is: 163,599.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,285 : 109,496 = 109,496 : x
  2. Step 2: Convert to fraction form
    73,285/109,496 = 109,496/x
  3. Step 3: Cross multiply
    73,285x = 109,496 × 109,496
  4. Step 4: Simplify right side
    73,285x = 11,989,374,016
  5. Step 5: Solve for x
    x = 11,989,374,016/73,285
  6. Step 6: Final answer
    x = 163,599.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.