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Finding the Third Proportional to 50,550 and 77,931

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Solution

The third proportional to 50,550 and 77,931 is: 120,143.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,550 : 77,931 = 77,931 : x
  2. Step 2: Convert to fraction form
    50,550/77,931 = 77,931/x
  3. Step 3: Cross multiply
    50,550x = 77,931 × 77,931
  4. Step 4: Simplify right side
    50,550x = 6,073,240,761
  5. Step 5: Solve for x
    x = 6,073,240,761/50,550
  6. Step 6: Final answer
    x = 120,143.24

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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.