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Finding the Third Proportional to 37,000 and 80,746

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Solution

The third proportional to 37,000 and 80,746 is: 176,213.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,000 : 80,746 = 80,746 : x
  2. Step 2: Convert to fraction form
    37,000/80,746 = 80,746/x
  3. Step 3: Cross multiply
    37,000x = 80,746 × 80,746
  4. Step 4: Simplify right side
    37,000x = 6,519,916,516
  5. Step 5: Solve for x
    x = 6,519,916,516/37,000
  6. Step 6: Final answer
    x = 176,213.96

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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.