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Finding the Third Proportional to 101,214 and 151,272

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Solution

The third proportional to 101,214 and 151,272 is: 226,087.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,214 : 151,272 = 151,272 : x
  2. Step 2: Convert to fraction form
    101,214/151,272 = 151,272/x
  3. Step 3: Cross multiply
    101,214x = 151,272 × 151,272
  4. Step 4: Simplify right side
    101,214x = 22,883,217,984
  5. Step 5: Solve for x
    x = 22,883,217,984/101,214
  6. Step 6: Final answer
    x = 226,087.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.