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Finding the Third Proportional to 84,120 and 176,028

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Solution

The third proportional to 84,120 and 176,028 is: 368,353.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,120 : 176,028 = 176,028 : x
  2. Step 2: Convert to fraction form
    84,120/176,028 = 176,028/x
  3. Step 3: Cross multiply
    84,120x = 176,028 × 176,028
  4. Step 4: Simplify right side
    84,120x = 30,985,856,784
  5. Step 5: Solve for x
    x = 30,985,856,784/84,120
  6. Step 6: Final answer
    x = 368,353.03

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.