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Finding the Third Proportional to 30,167 and 62,028

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Solution

The third proportional to 30,167 and 62,028 is: 127,539.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,167 : 62,028 = 62,028 : x
  2. Step 2: Convert to fraction form
    30,167/62,028 = 62,028/x
  3. Step 3: Cross multiply
    30,167x = 62,028 × 62,028
  4. Step 4: Simplify right side
    30,167x = 3,847,472,784
  5. Step 5: Solve for x
    x = 3,847,472,784/30,167
  6. Step 6: Final answer
    x = 127,539.13

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.