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Finding the Third Proportional to 80,617 and 175,039

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Solution

The third proportional to 80,617 and 175,039 is: 380,051.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,617 : 175,039 = 175,039 : x
  2. Step 2: Convert to fraction form
    80,617/175,039 = 175,039/x
  3. Step 3: Cross multiply
    80,617x = 175,039 × 175,039
  4. Step 4: Simplify right side
    80,617x = 30,638,651,521
  5. Step 5: Solve for x
    x = 30,638,651,521/80,617
  6. Step 6: Final answer
    x = 380,051.99

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.