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Finding the Third Proportional to 79,827 and 175,206

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Solution

The third proportional to 79,827 and 175,206 is: 384,545.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,827 : 175,206 = 175,206 : x
  2. Step 2: Convert to fraction form
    79,827/175,206 = 175,206/x
  3. Step 3: Cross multiply
    79,827x = 175,206 × 175,206
  4. Step 4: Simplify right side
    79,827x = 30,697,142,436
  5. Step 5: Solve for x
    x = 30,697,142,436/79,827
  6. Step 6: Final answer
    x = 384,545.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.