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Finding the Third Proportional to 109,334.81 and 166,287.94

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Solution

The third proportional to 109,334.81 and 166,287.94 is: 252,908.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,334.81 : 166,287.94 = 166,287.94 : x
  2. Step 2: Convert to fraction form
    109,334.81/166,287.94 = 166,287.94/x
  3. Step 3: Cross multiply
    109,334.81x = 166,287.94 × 166,287.94
  4. Step 4: Simplify right side
    109,334.81x = 27,651,678,158.00
  5. Step 5: Solve for x
    x = 27,651,678,158.00/109,334.81
  6. Step 6: Final answer
    x = 252,908.27

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.