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Finding the Third Proportional to 42,244 and 89,866

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Solution

The third proportional to 42,244 and 89,866 is: 191,172.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,244 : 89,866 = 89,866 : x
  2. Step 2: Convert to fraction form
    42,244/89,866 = 89,866/x
  3. Step 3: Cross multiply
    42,244x = 89,866 × 89,866
  4. Step 4: Simplify right side
    42,244x = 8,075,897,956
  5. Step 5: Solve for x
    x = 8,075,897,956/42,244
  6. Step 6: Final answer
    x = 191,172.66

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.