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Finding the Third Proportional to 107,060.25 and 232,572.75

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Solution

The third proportional to 107,060.25 and 232,572.75 is: 505,230.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,060.25 : 232,572.75 = 232,572.75 : x
  2. Step 2: Convert to fraction form
    107,060.25/232,572.75 = 232,572.75/x
  3. Step 3: Cross multiply
    107,060.25x = 232,572.75 × 232,572.75
  4. Step 4: Simplify right side
    107,060.25x = 54,090,084,042.56
  5. Step 5: Solve for x
    x = 54,090,084,042.56/107,060.25
  6. Step 6: Final answer
    x = 505,230.32

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.