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Finding the Third Proportional to 113,342 and 166,879

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Solution

The third proportional to 113,342 and 166,879 is: 245,704.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,342 : 166,879 = 166,879 : x
  2. Step 2: Convert to fraction form
    113,342/166,879 = 166,879/x
  3. Step 3: Cross multiply
    113,342x = 166,879 × 166,879
  4. Step 4: Simplify right side
    113,342x = 27,848,600,641
  5. Step 5: Solve for x
    x = 27,848,600,641/113,342
  6. Step 6: Final answer
    x = 245,704.16

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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.