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Finding the Third Proportional to 77,900 and 116,718

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Solution

The third proportional to 77,900 and 116,718 is: 174,879.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,900 : 116,718 = 116,718 : x
  2. Step 2: Convert to fraction form
    77,900/116,718 = 116,718/x
  3. Step 3: Cross multiply
    77,900x = 116,718 × 116,718
  4. Step 4: Simplify right side
    77,900x = 13,623,091,524
  5. Step 5: Solve for x
    x = 13,623,091,524/77,900
  6. Step 6: Final answer
    x = 174,879.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.