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Finding the Third Proportional to 58,326.75 and 127,952.44

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Solution

The third proportional to 58,326.75 and 127,952.44 is: 280,691.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,326.75 : 127,952.44 = 127,952.44 : x
  2. Step 2: Convert to fraction form
    58,326.75/127,952.44 = 127,952.44/x
  3. Step 3: Cross multiply
    58,326.75x = 127,952.44 × 127,952.44
  4. Step 4: Simplify right side
    58,326.75x = 16,371,826,262.19
  5. Step 5: Solve for x
    x = 16,371,826,262.19/58,326.75
  6. Step 6: Final answer
    x = 280,691.56

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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.