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Finding the Third Proportional to 56,092 and 122,336

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Solution

The third proportional to 56,092 and 122,336 is: 266,813.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,092 : 122,336 = 122,336 : x
  2. Step 2: Convert to fraction form
    56,092/122,336 = 122,336/x
  3. Step 3: Cross multiply
    56,092x = 122,336 × 122,336
  4. Step 4: Simplify right side
    56,092x = 14,966,096,896
  5. Step 5: Solve for x
    x = 14,966,096,896/56,092
  6. Step 6: Final answer
    x = 266,813.39

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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.