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Finding the Third Proportional to 45,786 and 96,496

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Solution

The third proportional to 45,786 and 96,496 is: 203,369.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,786 : 96,496 = 96,496 : x
  2. Step 2: Convert to fraction form
    45,786/96,496 = 96,496/x
  3. Step 3: Cross multiply
    45,786x = 96,496 × 96,496
  4. Step 4: Simplify right side
    45,786x = 9,311,478,016
  5. Step 5: Solve for x
    x = 9,311,478,016/45,786
  6. Step 6: Final answer
    x = 203,369.55

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.