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Finding the Third Proportional to 66,196.50 and 141,869

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Solution

The third proportional to 66,196.50 and 141,869 is: 304,046.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,196.50 : 141,869 = 141,869 : x
  2. Step 2: Convert to fraction form
    66,196.50/141,869 = 141,869/x
  3. Step 3: Cross multiply
    66,196.50x = 141,869 × 141,869
  4. Step 4: Simplify right side
    66,196.50x = 20,126,813,161
  5. Step 5: Solve for x
    x = 20,126,813,161/66,196.50
  6. Step 6: Final answer
    x = 304,046.49

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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.