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Finding the Third Proportional to 50,306 and 68,077.75

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Solution

The third proportional to 50,306 and 68,077.75 is: 92,127.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,306 : 68,077.75 = 68,077.75 : x
  2. Step 2: Convert to fraction form
    50,306/68,077.75 = 68,077.75/x
  3. Step 3: Cross multiply
    50,306x = 68,077.75 × 68,077.75
  4. Step 4: Simplify right side
    50,306x = 4,634,580,045.06
  5. Step 5: Solve for x
    x = 4,634,580,045.06/50,306
  6. Step 6: Final answer
    x = 92,127.78

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.