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Finding the Third Proportional to 36,937 and 78,701

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Solution

The third proportional to 36,937 and 78,701 is: 167,686.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,937 : 78,701 = 78,701 : x
  2. Step 2: Convert to fraction form
    36,937/78,701 = 78,701/x
  3. Step 3: Cross multiply
    36,937x = 78,701 × 78,701
  4. Step 4: Simplify right side
    36,937x = 6,193,847,401
  5. Step 5: Solve for x
    x = 6,193,847,401/36,937
  6. Step 6: Final answer
    x = 167,686.80

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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.