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Finding the Third Proportional to 111,269 and 170,791.50

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Solution

The third proportional to 111,269 and 170,791.50 is: 262,155.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,269 : 170,791.50 = 170,791.50 : x
  2. Step 2: Convert to fraction form
    111,269/170,791.50 = 170,791.50/x
  3. Step 3: Cross multiply
    111,269x = 170,791.50 × 170,791.50
  4. Step 4: Simplify right side
    111,269x = 29,169,736,472.25
  5. Step 5: Solve for x
    x = 29,169,736,472.25/111,269
  6. Step 6: Final answer
    x = 262,155.11

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.