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Finding the Third Proportional to 80,021 and 174,442

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Solution

The third proportional to 80,021 and 174,442 is: 380,275.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,021 : 174,442 = 174,442 : x
  2. Step 2: Convert to fraction form
    80,021/174,442 = 174,442/x
  3. Step 3: Cross multiply
    80,021x = 174,442 × 174,442
  4. Step 4: Simplify right side
    80,021x = 30,430,011,364
  5. Step 5: Solve for x
    x = 30,430,011,364/80,021
  6. Step 6: Final answer
    x = 380,275.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.