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Finding the Third Proportional to 56,949 and 113,829

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Solution

The third proportional to 56,949 and 113,829 is: 227,520.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,949 : 113,829 = 113,829 : x
  2. Step 2: Convert to fraction form
    56,949/113,829 = 113,829/x
  3. Step 3: Cross multiply
    56,949x = 113,829 × 113,829
  4. Step 4: Simplify right side
    56,949x = 12,957,041,241
  5. Step 5: Solve for x
    x = 12,957,041,241/56,949
  6. Step 6: Final answer
    x = 227,520.08

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.