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Finding the Third Proportional to 77,717 and 118,094

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Solution

The third proportional to 77,717 and 118,094 is: 179,448.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,717 : 118,094 = 118,094 : x
  2. Step 2: Convert to fraction form
    77,717/118,094 = 118,094/x
  3. Step 3: Cross multiply
    77,717x = 118,094 × 118,094
  4. Step 4: Simplify right side
    77,717x = 13,946,192,836
  5. Step 5: Solve for x
    x = 13,946,192,836/77,717
  6. Step 6: Final answer
    x = 179,448.42

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.