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Finding the Third Proportional to 70,219 and 146,272

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Solution

The third proportional to 70,219 and 146,272 is: 304,696.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,219 : 146,272 = 146,272 : x
  2. Step 2: Convert to fraction form
    70,219/146,272 = 146,272/x
  3. Step 3: Cross multiply
    70,219x = 146,272 × 146,272
  4. Step 4: Simplify right side
    70,219x = 21,395,497,984
  5. Step 5: Solve for x
    x = 21,395,497,984/70,219
  6. Step 6: Final answer
    x = 304,696.71

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.