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Finding the Third Proportional to 52,599 and 113,622

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Solution

The third proportional to 52,599 and 113,622 is: 245,441.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,599 : 113,622 = 113,622 : x
  2. Step 2: Convert to fraction form
    52,599/113,622 = 113,622/x
  3. Step 3: Cross multiply
    52,599x = 113,622 × 113,622
  4. Step 4: Simplify right side
    52,599x = 12,909,958,884
  5. Step 5: Solve for x
    x = 12,909,958,884/52,599
  6. Step 6: Final answer
    x = 245,441.15

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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.