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Finding the Third Proportional to 63,820 and 113,006.50

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Solution

The third proportional to 63,820 and 113,006.50 is: 200,101.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,820 : 113,006.50 = 113,006.50 : x
  2. Step 2: Convert to fraction form
    63,820/113,006.50 = 113,006.50/x
  3. Step 3: Cross multiply
    63,820x = 113,006.50 × 113,006.50
  4. Step 4: Simplify right side
    63,820x = 12,770,469,042.25
  5. Step 5: Solve for x
    x = 12,770,469,042.25/63,820
  6. Step 6: Final answer
    x = 200,101.36

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.