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Finding the Third Proportional to 112,053 and 166,489.50

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Solution

The third proportional to 112,053 and 166,489.50 is: 247,371.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,053 : 166,489.50 = 166,489.50 : x
  2. Step 2: Convert to fraction form
    112,053/166,489.50 = 166,489.50/x
  3. Step 3: Cross multiply
    112,053x = 166,489.50 × 166,489.50
  4. Step 4: Simplify right side
    112,053x = 27,718,753,610.25
  5. Step 5: Solve for x
    x = 27,718,753,610.25/112,053
  6. Step 6: Final answer
    x = 247,371.81

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.