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Finding the Third Proportional to 58,329.56 and 127,212.19

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Solution

The third proportional to 58,329.56 and 127,212.19 is: 277,439.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,329.56 : 127,212.19 = 127,212.19 : x
  2. Step 2: Convert to fraction form
    58,329.56/127,212.19 = 127,212.19/x
  3. Step 3: Cross multiply
    58,329.56x = 127,212.19 × 127,212.19
  4. Step 4: Simplify right side
    58,329.56x = 16,182,940,648.54
  5. Step 5: Solve for x
    x = 16,182,940,648.54/58,329.56
  6. Step 6: Final answer
    x = 277,439.77

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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.