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Finding the Third Proportional to 52,868 and 113,989

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Solution

The third proportional to 52,868 and 113,989 is: 245,772.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,868 : 113,989 = 113,989 : x
  2. Step 2: Convert to fraction form
    52,868/113,989 = 113,989/x
  3. Step 3: Cross multiply
    52,868x = 113,989 × 113,989
  4. Step 4: Simplify right side
    52,868x = 12,993,492,121
  5. Step 5: Solve for x
    x = 12,993,492,121/52,868
  6. Step 6: Final answer
    x = 245,772.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.