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Finding the Third Proportional to 112,610.25 and 239,557.50

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Solution

The third proportional to 112,610.25 and 239,557.50 is: 509,614.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,610.25 : 239,557.50 = 239,557.50 : x
  2. Step 2: Convert to fraction form
    112,610.25/239,557.50 = 239,557.50/x
  3. Step 3: Cross multiply
    112,610.25x = 239,557.50 × 239,557.50
  4. Step 4: Simplify right side
    112,610.25x = 57,387,795,806.25
  5. Step 5: Solve for x
    x = 57,387,795,806.25/112,610.25
  6. Step 6: Final answer
    x = 509,614.32

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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.