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Finding the Third Proportional to 80,030 and 174,820

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Solution

The third proportional to 80,030 and 174,820 is: 381,882.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,030 : 174,820 = 174,820 : x
  2. Step 2: Convert to fraction form
    80,030/174,820 = 174,820/x
  3. Step 3: Cross multiply
    80,030x = 174,820 × 174,820
  4. Step 4: Simplify right side
    80,030x = 30,562,032,400
  5. Step 5: Solve for x
    x = 30,562,032,400/80,030
  6. Step 6: Final answer
    x = 381,882.20

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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.