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Finding the Third Proportional to 30,361 and 62,221

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Solution

The third proportional to 30,361 and 62,221 is: 127,514.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,361 : 62,221 = 62,221 : x
  2. Step 2: Convert to fraction form
    30,361/62,221 = 62,221/x
  3. Step 3: Cross multiply
    30,361x = 62,221 × 62,221
  4. Step 4: Simplify right side
    30,361x = 3,871,452,841
  5. Step 5: Solve for x
    x = 3,871,452,841/30,361
  6. Step 6: Final answer
    x = 127,514.01

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.