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Finding the Third Proportional to 79,922 and 172,156

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Solution

The third proportional to 79,922 and 172,156 is: 370,832.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,922 : 172,156 = 172,156 : x
  2. Step 2: Convert to fraction form
    79,922/172,156 = 172,156/x
  3. Step 3: Cross multiply
    79,922x = 172,156 × 172,156
  4. Step 4: Simplify right side
    79,922x = 29,637,688,336
  5. Step 5: Solve for x
    x = 29,637,688,336/79,922
  6. Step 6: Final answer
    x = 370,832.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.