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Finding the Third Proportional to 52,906.50 and 113,022

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Solution

The third proportional to 52,906.50 and 113,022 is: 241,444.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,906.50 : 113,022 = 113,022 : x
  2. Step 2: Convert to fraction form
    52,906.50/113,022 = 113,022/x
  3. Step 3: Cross multiply
    52,906.50x = 113,022 × 113,022
  4. Step 4: Simplify right side
    52,906.50x = 12,773,972,484
  5. Step 5: Solve for x
    x = 12,773,972,484/52,906.50
  6. Step 6: Final answer
    x = 241,444.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.