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Finding the Third Proportional to 61,198.50 and 91,513.50

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Solution

The third proportional to 61,198.50 and 91,513.50 is: 136,845.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,198.50 : 91,513.50 = 91,513.50 : x
  2. Step 2: Convert to fraction form
    61,198.50/91,513.50 = 91,513.50/x
  3. Step 3: Cross multiply
    61,198.50x = 91,513.50 × 91,513.50
  4. Step 4: Simplify right side
    61,198.50x = 8,374,720,682.25
  5. Step 5: Solve for x
    x = 8,374,720,682.25/61,198.50
  6. Step 6: Final answer
    x = 136,845.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.