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Finding the Third Proportional to 36,854 and 78,526

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Solution

The third proportional to 36,854 and 78,526 is: 167,317.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,854 : 78,526 = 78,526 : x
  2. Step 2: Convert to fraction form
    36,854/78,526 = 78,526/x
  3. Step 3: Cross multiply
    36,854x = 78,526 × 78,526
  4. Step 4: Simplify right side
    36,854x = 6,166,332,676
  5. Step 5: Solve for x
    x = 6,166,332,676/36,854
  6. Step 6: Final answer
    x = 167,317.87

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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.