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Finding the Third Proportional to 77,652 and 117,918

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Solution

The third proportional to 77,652 and 117,918 is: 179,063.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,652 : 117,918 = 117,918 : x
  2. Step 2: Convert to fraction form
    77,652/117,918 = 117,918/x
  3. Step 3: Cross multiply
    77,652x = 117,918 × 117,918
  4. Step 4: Simplify right side
    77,652x = 13,904,654,724
  5. Step 5: Solve for x
    x = 13,904,654,724/77,652
  6. Step 6: Final answer
    x = 179,063.70

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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.