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Finding the Third Proportional to 31,205 and 63,868

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Solution

The third proportional to 31,205 and 63,868 is: 130,720.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,205 : 63,868 = 63,868 : x
  2. Step 2: Convert to fraction form
    31,205/63,868 = 63,868/x
  3. Step 3: Cross multiply
    31,205x = 63,868 × 63,868
  4. Step 4: Simplify right side
    31,205x = 4,079,121,424
  5. Step 5: Solve for x
    x = 4,079,121,424/31,205
  6. Step 6: Final answer
    x = 130,720.12

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.