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Finding the Third Proportional to 79,816 and 116,214

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Solution

The third proportional to 79,816 and 116,214 is: 169,210.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,816 : 116,214 = 116,214 : x
  2. Step 2: Convert to fraction form
    79,816/116,214 = 116,214/x
  3. Step 3: Cross multiply
    79,816x = 116,214 × 116,214
  4. Step 4: Simplify right side
    79,816x = 13,505,693,796
  5. Step 5: Solve for x
    x = 13,505,693,796/79,816
  6. Step 6: Final answer
    x = 169,210.36

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.