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Finding the Third Proportional to 79,474 and 171,854

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Solution

The third proportional to 79,474 and 171,854 is: 371,615.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,474 : 171,854 = 171,854 : x
  2. Step 2: Convert to fraction form
    79,474/171,854 = 171,854/x
  3. Step 3: Cross multiply
    79,474x = 171,854 × 171,854
  4. Step 4: Simplify right side
    79,474x = 29,533,797,316
  5. Step 5: Solve for x
    x = 29,533,797,316/79,474
  6. Step 6: Final answer
    x = 371,615.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.