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Finding the Third Proportional to 77,796 and 85,816

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Solution

The third proportional to 77,796 and 85,816 is: 94,662.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,796 : 85,816 = 85,816 : x
  2. Step 2: Convert to fraction form
    77,796/85,816 = 85,816/x
  3. Step 3: Cross multiply
    77,796x = 85,816 × 85,816
  4. Step 4: Simplify right side
    77,796x = 7,364,385,856
  5. Step 5: Solve for x
    x = 7,364,385,856/77,796
  6. Step 6: Final answer
    x = 94,662.78

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.