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Finding the Third Proportional to 85,847.06 and 117,638.44

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Solution

The third proportional to 85,847.06 and 117,638.44 is: 161,202.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,847.06 : 117,638.44 = 117,638.44 : x
  2. Step 2: Convert to fraction form
    85,847.06/117,638.44 = 117,638.44/x
  3. Step 3: Cross multiply
    85,847.06x = 117,638.44 × 117,638.44
  4. Step 4: Simplify right side
    85,847.06x = 13,838,801,977.44
  5. Step 5: Solve for x
    x = 13,838,801,977.44/85,847.06
  6. Step 6: Final answer
    x = 161,202.98

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.