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Finding the Third Proportional to 37,516 and 80,053

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Solution

The third proportional to 37,516 and 80,053 is: 170,819.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,516 : 80,053 = 80,053 : x
  2. Step 2: Convert to fraction form
    37,516/80,053 = 80,053/x
  3. Step 3: Cross multiply
    37,516x = 80,053 × 80,053
  4. Step 4: Simplify right side
    37,516x = 6,408,482,809
  5. Step 5: Solve for x
    x = 6,408,482,809/37,516
  6. Step 6: Final answer
    x = 170,819.99

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.