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Finding the Third Proportional to 91,845 and 141,859

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Solution

The third proportional to 91,845 and 141,859 is: 219,108.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,845 : 141,859 = 141,859 : x
  2. Step 2: Convert to fraction form
    91,845/141,859 = 141,859/x
  3. Step 3: Cross multiply
    91,845x = 141,859 × 141,859
  4. Step 4: Simplify right side
    91,845x = 20,123,975,881
  5. Step 5: Solve for x
    x = 20,123,975,881/91,845
  6. Step 6: Final answer
    x = 219,108.02

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.