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Finding the Third Proportional to 113,878 and 162,223

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Solution

The third proportional to 113,878 and 162,223 is: 231,092.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,878 : 162,223 = 162,223 : x
  2. Step 2: Convert to fraction form
    113,878/162,223 = 162,223/x
  3. Step 3: Cross multiply
    113,878x = 162,223 × 162,223
  4. Step 4: Simplify right side
    113,878x = 26,316,301,729
  5. Step 5: Solve for x
    x = 26,316,301,729/113,878
  6. Step 6: Final answer
    x = 231,092.06

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