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Finding the Third Proportional to 62,838.28 and 132,138.84

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Solution

The third proportional to 62,838.28 and 132,138.84 is: 277,866.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,838.28 : 132,138.84 = 132,138.84 : x
  2. Step 2: Convert to fraction form
    62,838.28/132,138.84 = 132,138.84/x
  3. Step 3: Cross multiply
    62,838.28x = 132,138.84 × 132,138.84
  4. Step 4: Simplify right side
    62,838.28x = 17,460,674,027.59
  5. Step 5: Solve for x
    x = 17,460,674,027.59/62,838.28
  6. Step 6: Final answer
    x = 277,866.83

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.