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Finding the Third Proportional to 84,892 and 114,881

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Solution

The third proportional to 84,892 and 114,881 is: 155,463.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,892 : 114,881 = 114,881 : x
  2. Step 2: Convert to fraction form
    84,892/114,881 = 114,881/x
  3. Step 3: Cross multiply
    84,892x = 114,881 × 114,881
  4. Step 4: Simplify right side
    84,892x = 13,197,644,161
  5. Step 5: Solve for x
    x = 13,197,644,161/84,892
  6. Step 6: Final answer
    x = 155,463.93

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.