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Finding the Third Proportional to 39,186 and 84,028

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Solution

The third proportional to 39,186 and 84,028 is: 180,184.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,186 : 84,028 = 84,028 : x
  2. Step 2: Convert to fraction form
    39,186/84,028 = 84,028/x
  3. Step 3: Cross multiply
    39,186x = 84,028 × 84,028
  4. Step 4: Simplify right side
    39,186x = 7,060,704,784
  5. Step 5: Solve for x
    x = 7,060,704,784/39,186
  6. Step 6: Final answer
    x = 180,184.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.