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Finding the Third Proportional to 58,443.38 and 127,821.75

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Solution

The third proportional to 58,443.38 and 127,821.75 is: 279,559.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,443.38 : 127,821.75 = 127,821.75 : x
  2. Step 2: Convert to fraction form
    58,443.38/127,821.75 = 127,821.75/x
  3. Step 3: Cross multiply
    58,443.38x = 127,821.75 × 127,821.75
  4. Step 4: Simplify right side
    58,443.38x = 16,338,399,773.06
  5. Step 5: Solve for x
    x = 16,338,399,773.06/58,443.38
  6. Step 6: Final answer
    x = 279,559.48

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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.