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Finding the Third Proportional to 50,674 and 77,955

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Solution

The third proportional to 50,674 and 77,955 is: 119,923.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,674 : 77,955 = 77,955 : x
  2. Step 2: Convert to fraction form
    50,674/77,955 = 77,955/x
  3. Step 3: Cross multiply
    50,674x = 77,955 × 77,955
  4. Step 4: Simplify right side
    50,674x = 6,076,982,025
  5. Step 5: Solve for x
    x = 6,076,982,025/50,674
  6. Step 6: Final answer
    x = 119,923.08

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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.