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Finding the Third Proportional to 61,971 and 91,620

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Solution

The third proportional to 61,971 and 91,620 is: 135,454.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,971 : 91,620 = 91,620 : x
  2. Step 2: Convert to fraction form
    61,971/91,620 = 91,620/x
  3. Step 3: Cross multiply
    61,971x = 91,620 × 91,620
  4. Step 4: Simplify right side
    61,971x = 8,394,224,400
  5. Step 5: Solve for x
    x = 8,394,224,400/61,971
  6. Step 6: Final answer
    x = 135,454.07

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.