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Finding the Third Proportional to 61,200 and 91,980

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Solution

The third proportional to 61,200 and 91,980 is: 138,240.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,200 : 91,980 = 91,980 : x
  2. Step 2: Convert to fraction form
    61,200/91,980 = 91,980/x
  3. Step 3: Cross multiply
    61,200x = 91,980 × 91,980
  4. Step 4: Simplify right side
    61,200x = 8,460,320,400
  5. Step 5: Solve for x
    x = 8,460,320,400/61,200
  6. Step 6: Final answer
    x = 138,240.53

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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.