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Finding the Third Proportional to 66,208 and 141,894

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Solution

The third proportional to 66,208 and 141,894 is: 304,100.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,208 : 141,894 = 141,894 : x
  2. Step 2: Convert to fraction form
    66,208/141,894 = 141,894/x
  3. Step 3: Cross multiply
    66,208x = 141,894 × 141,894
  4. Step 4: Simplify right side
    66,208x = 20,133,907,236
  5. Step 5: Solve for x
    x = 20,133,907,236/66,208
  6. Step 6: Final answer
    x = 304,100.82

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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.