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Finding the Third Proportional to 79,732 and 169,184

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Solution

The third proportional to 79,732 and 169,184 is: 358,992.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,732 : 169,184 = 169,184 : x
  2. Step 2: Convert to fraction form
    79,732/169,184 = 169,184/x
  3. Step 3: Cross multiply
    79,732x = 169,184 × 169,184
  4. Step 4: Simplify right side
    79,732x = 28,623,225,856
  5. Step 5: Solve for x
    x = 28,623,225,856/79,732
  6. Step 6: Final answer
    x = 358,992.95

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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.