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Finding the Third Proportional to 50,905 and 77,674

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Solution

The third proportional to 50,905 and 77,674 is: 118,519.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,905 : 77,674 = 77,674 : x
  2. Step 2: Convert to fraction form
    50,905/77,674 = 77,674/x
  3. Step 3: Cross multiply
    50,905x = 77,674 × 77,674
  4. Step 4: Simplify right side
    50,905x = 6,033,250,276
  5. Step 5: Solve for x
    x = 6,033,250,276/50,905
  6. Step 6: Final answer
    x = 118,519.80

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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.