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Finding the Third Proportional to 62,823 and 136,939.50

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Solution

The third proportional to 62,823 and 136,939.50 is: 298,496.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,823 : 136,939.50 = 136,939.50 : x
  2. Step 2: Convert to fraction form
    62,823/136,939.50 = 136,939.50/x
  3. Step 3: Cross multiply
    62,823x = 136,939.50 × 136,939.50
  4. Step 4: Simplify right side
    62,823x = 18,752,426,660.25
  5. Step 5: Solve for x
    x = 18,752,426,660.25/62,823
  6. Step 6: Final answer
    x = 298,496.20

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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.