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Finding the Third Proportional to 79,002 and 118,206

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Solution

The third proportional to 79,002 and 118,206 is: 176,864.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,002 : 118,206 = 118,206 : x
  2. Step 2: Convert to fraction form
    79,002/118,206 = 118,206/x
  3. Step 3: Cross multiply
    79,002x = 118,206 × 118,206
  4. Step 4: Simplify right side
    79,002x = 13,972,658,436
  5. Step 5: Solve for x
    x = 13,972,658,436/79,002
  6. Step 6: Final answer
    x = 176,864.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.