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Finding the Third Proportional to 112,825.75 and 240,141

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Solution

The third proportional to 112,825.75 and 240,141 is: 511,121.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,825.75 : 240,141 = 240,141 : x
  2. Step 2: Convert to fraction form
    112,825.75/240,141 = 240,141/x
  3. Step 3: Cross multiply
    112,825.75x = 240,141 × 240,141
  4. Step 4: Simplify right side
    112,825.75x = 57,667,699,881
  5. Step 5: Solve for x
    x = 57,667,699,881/112,825.75
  6. Step 6: Final answer
    x = 511,121.80

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.