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Finding the Third Proportional to 113,307 and 166,662

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Solution

The third proportional to 113,307 and 166,662 is: 245,141.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,307 : 166,662 = 166,662 : x
  2. Step 2: Convert to fraction form
    113,307/166,662 = 166,662/x
  3. Step 3: Cross multiply
    113,307x = 166,662 × 166,662
  4. Step 4: Simplify right side
    113,307x = 27,776,222,244
  5. Step 5: Solve for x
    x = 27,776,222,244/113,307
  6. Step 6: Final answer
    x = 245,141.27

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