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Finding the Third Proportional to 54,092 and 118,364

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Solution

The third proportional to 54,092 and 118,364 is: 259,003.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,092 : 118,364 = 118,364 : x
  2. Step 2: Convert to fraction form
    54,092/118,364 = 118,364/x
  3. Step 3: Cross multiply
    54,092x = 118,364 × 118,364
  4. Step 4: Simplify right side
    54,092x = 14,010,036,496
  5. Step 5: Solve for x
    x = 14,010,036,496/54,092
  6. Step 6: Final answer
    x = 259,003.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.