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Finding the Third Proportional to 113,022 and 153,493

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Solution

The third proportional to 113,022 and 153,493 is: 208,455.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,022 : 153,493 = 153,493 : x
  2. Step 2: Convert to fraction form
    113,022/153,493 = 153,493/x
  3. Step 3: Cross multiply
    113,022x = 153,493 × 153,493
  4. Step 4: Simplify right side
    113,022x = 23,560,101,049
  5. Step 5: Solve for x
    x = 23,560,101,049/113,022
  6. Step 6: Final answer
    x = 208,455.89

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.