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Finding the Third Proportional to 56,226 and 122,496

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Solution

The third proportional to 56,226 and 122,496 is: 266,874.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,226 : 122,496 = 122,496 : x
  2. Step 2: Convert to fraction form
    56,226/122,496 = 122,496/x
  3. Step 3: Cross multiply
    56,226x = 122,496 × 122,496
  4. Step 4: Simplify right side
    56,226x = 15,005,270,016
  5. Step 5: Solve for x
    x = 15,005,270,016/56,226
  6. Step 6: Final answer
    x = 266,874.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.