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Finding the Third Proportional to 79,742 and 173,506

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Solution

The third proportional to 79,742 and 173,506 is: 377,521.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,742 : 173,506 = 173,506 : x
  2. Step 2: Convert to fraction form
    79,742/173,506 = 173,506/x
  3. Step 3: Cross multiply
    79,742x = 173,506 × 173,506
  4. Step 4: Simplify right side
    79,742x = 30,104,332,036
  5. Step 5: Solve for x
    x = 30,104,332,036/79,742
  6. Step 6: Final answer
    x = 377,521.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.