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Finding the Third Proportional to 87,745.50 and 136,741.50

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Solution

The third proportional to 87,745.50 and 136,741.50 is: 213,096.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,745.50 : 136,741.50 = 136,741.50 : x
  2. Step 2: Convert to fraction form
    87,745.50/136,741.50 = 136,741.50/x
  3. Step 3: Cross multiply
    87,745.50x = 136,741.50 × 136,741.50
  4. Step 4: Simplify right side
    87,745.50x = 18,698,237,822.25
  5. Step 5: Solve for x
    x = 18,698,237,822.25/87,745.50
  6. Step 6: Final answer
    x = 213,096.26

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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.