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Finding the Third Proportional to 68,043 and 88,942.50

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Solution

The third proportional to 68,043 and 88,942.50 is: 116,261.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,043 : 88,942.50 = 88,942.50 : x
  2. Step 2: Convert to fraction form
    68,043/88,942.50 = 88,942.50/x
  3. Step 3: Cross multiply
    68,043x = 88,942.50 × 88,942.50
  4. Step 4: Simplify right side
    68,043x = 7,910,768,306.25
  5. Step 5: Solve for x
    x = 7,910,768,306.25/68,043
  6. Step 6: Final answer
    x = 116,261.31

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.