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Finding the Third Proportional to 79,716 and 174,982

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Solution

The third proportional to 79,716 and 174,982 is: 384,097.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,716 : 174,982 = 174,982 : x
  2. Step 2: Convert to fraction form
    79,716/174,982 = 174,982/x
  3. Step 3: Cross multiply
    79,716x = 174,982 × 174,982
  4. Step 4: Simplify right side
    79,716x = 30,618,700,324
  5. Step 5: Solve for x
    x = 30,618,700,324/79,716
  6. Step 6: Final answer
    x = 384,097.30

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.