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Finding the Third Proportional to 79,262 and 169,216

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Solution

The third proportional to 79,262 and 169,216 is: 361,258.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,262 : 169,216 = 169,216 : x
  2. Step 2: Convert to fraction form
    79,262/169,216 = 169,216/x
  3. Step 3: Cross multiply
    79,262x = 169,216 × 169,216
  4. Step 4: Simplify right side
    79,262x = 28,634,054,656
  5. Step 5: Solve for x
    x = 28,634,054,656/79,262
  6. Step 6: Final answer
    x = 361,258.29

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.