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Finding the Third Proportional to 79,564 and 175,122

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Solution

The third proportional to 79,564 and 175,122 is: 385,447.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,564 : 175,122 = 175,122 : x
  2. Step 2: Convert to fraction form
    79,564/175,122 = 175,122/x
  3. Step 3: Cross multiply
    79,564x = 175,122 × 175,122
  4. Step 4: Simplify right side
    79,564x = 30,667,714,884
  5. Step 5: Solve for x
    x = 30,667,714,884/79,564
  6. Step 6: Final answer
    x = 385,447.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.