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Finding the Third Proportional to 145,139.75 and 219,896.75

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Solution

The third proportional to 145,139.75 and 219,896.75 is: 333,158.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,139.75 : 219,896.75 = 219,896.75 : x
  2. Step 2: Convert to fraction form
    145,139.75/219,896.75 = 219,896.75/x
  3. Step 3: Cross multiply
    145,139.75x = 219,896.75 × 219,896.75
  4. Step 4: Simplify right side
    145,139.75x = 48,354,580,660.56
  5. Step 5: Solve for x
    x = 48,354,580,660.56/145,139.75
  6. Step 6: Final answer
    x = 333,158.77

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.