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Finding the Third Proportional to 113,346 and 166,563

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Solution

The third proportional to 113,346 and 166,563 is: 244,765.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,346 : 166,563 = 166,563 : x
  2. Step 2: Convert to fraction form
    113,346/166,563 = 166,563/x
  3. Step 3: Cross multiply
    113,346x = 166,563 × 166,563
  4. Step 4: Simplify right side
    113,346x = 27,743,232,969
  5. Step 5: Solve for x
    x = 27,743,232,969/113,346
  6. Step 6: Final answer
    x = 244,765.88

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.