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Finding the Third Proportional to 79,084 and 123,162

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Solution

The third proportional to 79,084 and 123,162 is: 191,807.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,084 : 123,162 = 123,162 : x
  2. Step 2: Convert to fraction form
    79,084/123,162 = 123,162/x
  3. Step 3: Cross multiply
    79,084x = 123,162 × 123,162
  4. Step 4: Simplify right side
    79,084x = 15,168,878,244
  5. Step 5: Solve for x
    x = 15,168,878,244/79,084
  6. Step 6: Final answer
    x = 191,807.17

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.