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Finding the Third Proportional to 50,517 and 77,310

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Solution

The third proportional to 50,517 and 77,310 is: 118,313.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,517 : 77,310 = 77,310 : x
  2. Step 2: Convert to fraction form
    50,517/77,310 = 77,310/x
  3. Step 3: Cross multiply
    50,517x = 77,310 × 77,310
  4. Step 4: Simplify right side
    50,517x = 5,976,836,100
  5. Step 5: Solve for x
    x = 5,976,836,100/50,517
  6. Step 6: Final answer
    x = 118,313.36

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.