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Finding the Third Proportional to 66,194 and 141,866

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Solution

The third proportional to 66,194 and 141,866 is: 304,045.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,194 : 141,866 = 141,866 : x
  2. Step 2: Convert to fraction form
    66,194/141,866 = 141,866/x
  3. Step 3: Cross multiply
    66,194x = 141,866 × 141,866
  4. Step 4: Simplify right side
    66,194x = 20,125,961,956
  5. Step 5: Solve for x
    x = 20,125,961,956/66,194
  6. Step 6: Final answer
    x = 304,045.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.