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Finding the Third Proportional to 50,077 and 77,986.50

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Solution

The third proportional to 50,077 and 77,986.50 is: 121,450.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,077 : 77,986.50 = 77,986.50 : x
  2. Step 2: Convert to fraction form
    50,077/77,986.50 = 77,986.50/x
  3. Step 3: Cross multiply
    50,077x = 77,986.50 × 77,986.50
  4. Step 4: Simplify right side
    50,077x = 6,081,894,182.25
  5. Step 5: Solve for x
    x = 6,081,894,182.25/50,077
  6. Step 6: Final answer
    x = 121,450.85

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.