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Finding the Third Proportional to 106,867.03 and 166,770.47

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Solution

The third proportional to 106,867.03 and 166,770.47 is: 260,252.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,867.03 : 166,770.47 = 166,770.47 : x
  2. Step 2: Convert to fraction form
    106,867.03/166,770.47 = 166,770.47/x
  3. Step 3: Cross multiply
    106,867.03x = 166,770.47 × 166,770.47
  4. Step 4: Simplify right side
    106,867.03x = 27,812,389,247.09
  5. Step 5: Solve for x
    x = 27,812,389,247.09/106,867.03
  6. Step 6: Final answer
    x = 260,252.29

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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.