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Finding the Third Proportional to 50,544 and 77,349.94

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Solution

The third proportional to 50,544 and 77,349.94 is: 118,372.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,544 : 77,349.94 = 77,349.94 : x
  2. Step 2: Convert to fraction form
    50,544/77,349.94 = 77,349.94/x
  3. Step 3: Cross multiply
    50,544x = 77,349.94 × 77,349.94
  4. Step 4: Simplify right side
    50,544x = 5,983,012,831.25
  5. Step 5: Solve for x
    x = 5,983,012,831.25/50,544
  6. Step 6: Final answer
    x = 118,372.37

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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.