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Finding the Third Proportional to 112,399.50 and 123,607.50

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Solution

The third proportional to 112,399.50 and 123,607.50 is: 135,933.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,399.50 : 123,607.50 = 123,607.50 : x
  2. Step 2: Convert to fraction form
    112,399.50/123,607.50 = 123,607.50/x
  3. Step 3: Cross multiply
    112,399.50x = 123,607.50 × 123,607.50
  4. Step 4: Simplify right side
    112,399.50x = 15,278,814,056.25
  5. Step 5: Solve for x
    x = 15,278,814,056.25/112,399.50
  6. Step 6: Final answer
    x = 135,933.11

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.