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Finding the Third Proportional to 113,878 and 162,221

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Solution

The third proportional to 113,878 and 162,221 is: 231,086.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,878 : 162,221 = 162,221 : x
  2. Step 2: Convert to fraction form
    113,878/162,221 = 162,221/x
  3. Step 3: Cross multiply
    113,878x = 162,221 × 162,221
  4. Step 4: Simplify right side
    113,878x = 26,315,652,841
  5. Step 5: Solve for x
    x = 26,315,652,841/113,878
  6. Step 6: Final answer
    x = 231,086.36

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.