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Finding the Third Proportional to 54,006.75 and 127,605.38

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Solution

The third proportional to 54,006.75 and 127,605.38 is: 301,501.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,006.75 : 127,605.38 = 127,605.38 : x
  2. Step 2: Convert to fraction form
    54,006.75/127,605.38 = 127,605.38/x
  3. Step 3: Cross multiply
    54,006.75x = 127,605.38 × 127,605.38
  4. Step 4: Simplify right side
    54,006.75x = 16,283,131,728.89
  5. Step 5: Solve for x
    x = 16,283,131,728.89/54,006.75
  6. Step 6: Final answer
    x = 301,501.79

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.