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Finding the Third Proportional to 79,494 and 168,464

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Solution

The third proportional to 79,494 and 168,464 is: 357,009.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,494 : 168,464 = 168,464 : x
  2. Step 2: Convert to fraction form
    79,494/168,464 = 168,464/x
  3. Step 3: Cross multiply
    79,494x = 168,464 × 168,464
  4. Step 4: Simplify right side
    79,494x = 28,380,119,296
  5. Step 5: Solve for x
    x = 28,380,119,296/79,494
  6. Step 6: Final answer
    x = 357,009.58

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.