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Finding the Third Proportional to 66,212 and 141,900

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Solution

The third proportional to 66,212 and 141,900 is: 304,108.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,212 : 141,900 = 141,900 : x
  2. Step 2: Convert to fraction form
    66,212/141,900 = 141,900/x
  3. Step 3: Cross multiply
    66,212x = 141,900 × 141,900
  4. Step 4: Simplify right side
    66,212x = 20,135,610,000
  5. Step 5: Solve for x
    x = 20,135,610,000/66,212
  6. Step 6: Final answer
    x = 304,108.17

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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.