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Finding the Third Proportional to 110,712.56 and 166,040.06

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Solution

The third proportional to 110,712.56 and 166,040.06 is: 249,016.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,712.56 : 166,040.06 = 166,040.06 : x
  2. Step 2: Convert to fraction form
    110,712.56/166,040.06 = 166,040.06/x
  3. Step 3: Cross multiply
    110,712.56x = 166,040.06 × 166,040.06
  4. Step 4: Simplify right side
    110,712.56x = 27,569,302,355.00
  5. Step 5: Solve for x
    x = 27,569,302,355.00/110,712.56
  6. Step 6: Final answer
    x = 249,016.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.