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Finding the Third Proportional to 59,173.31 and 83,231.44

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Solution

The third proportional to 59,173.31 and 83,231.44 is: 117,070.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,173.31 : 83,231.44 = 83,231.44 : x
  2. Step 2: Convert to fraction form
    59,173.31/83,231.44 = 83,231.44/x
  3. Step 3: Cross multiply
    59,173.31x = 83,231.44 × 83,231.44
  4. Step 4: Simplify right side
    59,173.31x = 6,927,472,188.32
  5. Step 5: Solve for x
    x = 6,927,472,188.32/59,173.31
  6. Step 6: Final answer
    x = 117,070.89

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.