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Finding the Third Proportional to 77,686 and 119,963

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Solution

The third proportional to 77,686 and 119,963 is: 185,247.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,686 : 119,963 = 119,963 : x
  2. Step 2: Convert to fraction form
    77,686/119,963 = 119,963/x
  3. Step 3: Cross multiply
    77,686x = 119,963 × 119,963
  4. Step 4: Simplify right side
    77,686x = 14,391,121,369
  5. Step 5: Solve for x
    x = 14,391,121,369/77,686
  6. Step 6: Final answer
    x = 185,247.30

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.