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Finding the Third Proportional to 56,338 and 122,486

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Solution

The third proportional to 56,338 and 122,486 is: 266,300.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,338 : 122,486 = 122,486 : x
  2. Step 2: Convert to fraction form
    56,338/122,486 = 122,486/x
  3. Step 3: Cross multiply
    56,338x = 122,486 × 122,486
  4. Step 4: Simplify right side
    56,338x = 15,002,820,196
  5. Step 5: Solve for x
    x = 15,002,820,196/56,338
  6. Step 6: Final answer
    x = 266,300.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.