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Finding the Third Proportional to 111,352.13 and 151,285.13

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Solution

The third proportional to 111,352.13 and 151,285.13 is: 205,538.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,352.13 : 151,285.13 = 151,285.13 : x
  2. Step 2: Convert to fraction form
    111,352.13/151,285.13 = 151,285.13/x
  3. Step 3: Cross multiply
    111,352.13x = 151,285.13 × 151,285.13
  4. Step 4: Simplify right side
    111,352.13x = 22,887,189,046.27
  5. Step 5: Solve for x
    x = 22,887,189,046.27/111,352.13
  6. Step 6: Final answer
    x = 205,538.86

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.