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Finding the Third Proportional to 117,697.13 and 151,120.69

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Solution

The third proportional to 117,697.13 and 151,120.69 is: 194,035.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,697.13 : 151,120.69 = 151,120.69 : x
  2. Step 2: Convert to fraction form
    117,697.13/151,120.69 = 151,120.69/x
  3. Step 3: Cross multiply
    117,697.13x = 151,120.69 × 151,120.69
  4. Step 4: Simplify right side
    117,697.13x = 22,837,462,190.47
  5. Step 5: Solve for x
    x = 22,837,462,190.47/117,697.13
  6. Step 6: Final answer
    x = 194,035.85

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.