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Finding the Third Proportional to 55,611.56 and 86,182.31

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Solution

The third proportional to 55,611.56 and 86,182.31 is: 133,558.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,611.56 : 86,182.31 = 86,182.31 : x
  2. Step 2: Convert to fraction form
    55,611.56/86,182.31 = 86,182.31/x
  3. Step 3: Cross multiply
    55,611.56x = 86,182.31 × 86,182.31
  4. Step 4: Simplify right side
    55,611.56x = 7,427,390,987.85
  5. Step 5: Solve for x
    x = 7,427,390,987.85/55,611.56
  6. Step 6: Final answer
    x = 133,558.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.