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Finding the Third Proportional to 76,285.13 and 159,541.13

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Solution

The third proportional to 76,285.13 and 159,541.13 is: 333,660.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,285.13 : 159,541.13 = 159,541.13 : x
  2. Step 2: Convert to fraction form
    76,285.13/159,541.13 = 159,541.13/x
  3. Step 3: Cross multiply
    76,285.13x = 159,541.13 × 159,541.13
  4. Step 4: Simplify right side
    76,285.13x = 25,453,370,566.27
  5. Step 5: Solve for x
    x = 25,453,370,566.27/76,285.13
  6. Step 6: Final answer
    x = 333,660.99

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.