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Finding the Third Proportional to 112,699.50 and 174,414.75

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Solution

The third proportional to 112,699.50 and 174,414.75 is: 269,925.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,699.50 : 174,414.75 = 174,414.75 : x
  2. Step 2: Convert to fraction form
    112,699.50/174,414.75 = 174,414.75/x
  3. Step 3: Cross multiply
    112,699.50x = 174,414.75 × 174,414.75
  4. Step 4: Simplify right side
    112,699.50x = 30,420,505,017.56
  5. Step 5: Solve for x
    x = 30,420,505,017.56/112,699.50
  6. Step 6: Final answer
    x = 269,925.82

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.