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Finding the Third Proportional to 34,347 and 73,229

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Solution

The third proportional to 34,347 and 73,229 is: 156,126.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,347 : 73,229 = 73,229 : x
  2. Step 2: Convert to fraction form
    34,347/73,229 = 73,229/x
  3. Step 3: Cross multiply
    34,347x = 73,229 × 73,229
  4. Step 4: Simplify right side
    34,347x = 5,362,486,441
  5. Step 5: Solve for x
    x = 5,362,486,441/34,347
  6. Step 6: Final answer
    x = 156,126.78

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.