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Finding the Third Proportional to 50,175.75 and 77,512.13

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Solution

The third proportional to 50,175.75 and 77,512.13 is: 119,741.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,175.75 : 77,512.13 = 77,512.13 : x
  2. Step 2: Convert to fraction form
    50,175.75/77,512.13 = 77,512.13/x
  3. Step 3: Cross multiply
    50,175.75x = 77,512.13 × 77,512.13
  4. Step 4: Simplify right side
    50,175.75x = 6,008,129,522.02
  5. Step 5: Solve for x
    x = 6,008,129,522.02/50,175.75
  6. Step 6: Final answer
    x = 119,741.70

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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.