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Finding the Third Proportional to 61,408.13 and 91,735.03

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Solution

The third proportional to 61,408.13 and 91,735.03 is: 137,039.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,408.13 : 91,735.03 = 91,735.03 : x
  2. Step 2: Convert to fraction form
    61,408.13/91,735.03 = 91,735.03/x
  3. Step 3: Cross multiply
    61,408.13x = 91,735.03 × 91,735.03
  4. Step 4: Simplify right side
    61,408.13x = 8,415,315,958.44
  5. Step 5: Solve for x
    x = 8,415,315,958.44/61,408.13
  6. Step 6: Final answer
    x = 137,039.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.