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Finding the Third Proportional to 79,024 and 122,028

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Solution

The third proportional to 79,024 and 122,028 is: 188,434.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,024 : 122,028 = 122,028 : x
  2. Step 2: Convert to fraction form
    79,024/122,028 = 122,028/x
  3. Step 3: Cross multiply
    79,024x = 122,028 × 122,028
  4. Step 4: Simplify right side
    79,024x = 14,890,832,784
  5. Step 5: Solve for x
    x = 14,890,832,784/79,024
  6. Step 6: Final answer
    x = 188,434.31

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.