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Finding the Third Proportional to 79,497 and 168,468

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Solution

The third proportional to 79,497 and 168,468 is: 357,013.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,497 : 168,468 = 168,468 : x
  2. Step 2: Convert to fraction form
    79,497/168,468 = 168,468/x
  3. Step 3: Cross multiply
    79,497x = 168,468 × 168,468
  4. Step 4: Simplify right side
    79,497x = 28,381,467,024
  5. Step 5: Solve for x
    x = 28,381,467,024/79,497
  6. Step 6: Final answer
    x = 357,013.06

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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.