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Finding the Third Proportional to 77,576 and 167,028

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Solution

The third proportional to 77,576 and 167,028 is: 359,626.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,576 : 167,028 = 167,028 : x
  2. Step 2: Convert to fraction form
    77,576/167,028 = 167,028/x
  3. Step 3: Cross multiply
    77,576x = 167,028 × 167,028
  4. Step 4: Simplify right side
    77,576x = 27,898,352,784
  5. Step 5: Solve for x
    x = 27,898,352,784/77,576
  6. Step 6: Final answer
    x = 359,626.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.