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Finding the Third Proportional to 102,843 and 158,931

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Solution

The third proportional to 102,843 and 158,931 is: 245,607.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,843 : 158,931 = 158,931 : x
  2. Step 2: Convert to fraction form
    102,843/158,931 = 158,931/x
  3. Step 3: Cross multiply
    102,843x = 158,931 × 158,931
  4. Step 4: Simplify right side
    102,843x = 25,259,062,761
  5. Step 5: Solve for x
    x = 25,259,062,761/102,843
  6. Step 6: Final answer
    x = 245,607.99

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.