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Finding the Third Proportional to 79,022 and 186,539

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Solution

The third proportional to 79,022 and 186,539 is: 440,343.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,022 : 186,539 = 186,539 : x
  2. Step 2: Convert to fraction form
    79,022/186,539 = 186,539/x
  3. Step 3: Cross multiply
    79,022x = 186,539 × 186,539
  4. Step 4: Simplify right side
    79,022x = 34,796,798,521
  5. Step 5: Solve for x
    x = 34,796,798,521/79,022
  6. Step 6: Final answer
    x = 440,343.18

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.