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Finding the Third Proportional to 79,055 and 186,612

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Solution

The third proportional to 79,055 and 186,612 is: 440,503.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,055 : 186,612 = 186,612 : x
  2. Step 2: Convert to fraction form
    79,055/186,612 = 186,612/x
  3. Step 3: Cross multiply
    79,055x = 186,612 × 186,612
  4. Step 4: Simplify right side
    79,055x = 34,824,038,544
  5. Step 5: Solve for x
    x = 34,824,038,544/79,055
  6. Step 6: Final answer
    x = 440,503.93

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.