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Finding the Third Proportional to 106,864.31 and 166,766.34

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Solution

The third proportional to 106,864.31 and 166,766.34 is: 260,246.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,864.31 : 166,766.34 = 166,766.34 : x
  2. Step 2: Convert to fraction form
    106,864.31/166,766.34 = 166,766.34/x
  3. Step 3: Cross multiply
    106,864.31x = 166,766.34 × 166,766.34
  4. Step 4: Simplify right side
    106,864.31x = 27,811,013,407.74
  5. Step 5: Solve for x
    x = 27,811,013,407.74/106,864.31
  6. Step 6: Final answer
    x = 260,246.03

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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.