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Finding the Third Proportional to 117,717 and 151,149.75

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Solution

The third proportional to 117,717 and 151,149.75 is: 194,077.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,717 : 151,149.75 = 151,149.75 : x
  2. Step 2: Convert to fraction form
    117,717/151,149.75 = 151,149.75/x
  3. Step 3: Cross multiply
    117,717x = 151,149.75 × 151,149.75
  4. Step 4: Simplify right side
    117,717x = 22,846,246,925.06
  5. Step 5: Solve for x
    x = 22,846,246,925.06/117,717
  6. Step 6: Final answer
    x = 194,077.72

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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.