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Finding the Third Proportional to 36,333 and 81,166.50

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Solution

The third proportional to 36,333 and 81,166.50 is: 181,322.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,333 : 81,166.50 = 81,166.50 : x
  2. Step 2: Convert to fraction form
    36,333/81,166.50 = 81,166.50/x
  3. Step 3: Cross multiply
    36,333x = 81,166.50 × 81,166.50
  4. Step 4: Simplify right side
    36,333x = 6,588,000,722.25
  5. Step 5: Solve for x
    x = 6,588,000,722.25/36,333
  6. Step 6: Final answer
    x = 181,322.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.