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Finding the Third Proportional to 58,321.13 and 127,195.31

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Solution

The third proportional to 58,321.13 and 127,195.31 is: 277,406.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,321.13 : 127,195.31 = 127,195.31 : x
  2. Step 2: Convert to fraction form
    58,321.13/127,195.31 = 127,195.31/x
  3. Step 3: Cross multiply
    58,321.13x = 127,195.31 × 127,195.31
  4. Step 4: Simplify right side
    58,321.13x = 16,178,647,521.97
  5. Step 5: Solve for x
    x = 16,178,647,521.97/58,321.13
  6. Step 6: Final answer
    x = 277,406.30

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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.