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Finding the Third Proportional to 89,750 and 140,803

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Solution

The third proportional to 89,750 and 140,803 is: 220,896.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,750 : 140,803 = 140,803 : x
  2. Step 2: Convert to fraction form
    89,750/140,803 = 140,803/x
  3. Step 3: Cross multiply
    89,750x = 140,803 × 140,803
  4. Step 4: Simplify right side
    89,750x = 19,825,484,809
  5. Step 5: Solve for x
    x = 19,825,484,809/89,750
  6. Step 6: Final answer
    x = 220,896.77

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.