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Finding the Third Proportional to 101,781 and 149,622.75

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Solution

The third proportional to 101,781 and 149,622.75 is: 219,952.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,781 : 149,622.75 = 149,622.75 : x
  2. Step 2: Convert to fraction form
    101,781/149,622.75 = 149,622.75/x
  3. Step 3: Cross multiply
    101,781x = 149,622.75 × 149,622.75
  4. Step 4: Simplify right side
    101,781x = 22,386,967,317.56
  5. Step 5: Solve for x
    x = 22,386,967,317.56/101,781
  6. Step 6: Final answer
    x = 219,952.32

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.