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Finding the Third Proportional to 55,267.31 and 83,174.34

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Solution

The third proportional to 55,267.31 and 83,174.34 is: 125,172.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,267.31 : 83,174.34 = 83,174.34 : x
  2. Step 2: Convert to fraction form
    55,267.31/83,174.34 = 83,174.34/x
  3. Step 3: Cross multiply
    55,267.31x = 83,174.34 × 83,174.34
  4. Step 4: Simplify right side
    55,267.31x = 6,917,971,458.24
  5. Step 5: Solve for x
    x = 6,917,971,458.24/55,267.31
  6. Step 6: Final answer
    x = 125,172.93

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