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Finding the Third Proportional to 106,866.53 and 166,769.67

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Solution

The third proportional to 106,866.53 and 166,769.67 is: 260,251.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,866.53 : 166,769.67 = 166,769.67 : x
  2. Step 2: Convert to fraction form
    106,866.53/166,769.67 = 166,769.67/x
  3. Step 3: Cross multiply
    106,866.53x = 166,769.67 × 166,769.67
  4. Step 4: Simplify right side
    106,866.53x = 27,812,121,502.96
  5. Step 5: Solve for x
    x = 27,812,121,502.96/106,866.53
  6. Step 6: Final answer
    x = 260,251.01

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.