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Finding the Third Proportional to 61,668 and 81,984

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Solution

The third proportional to 61,668 and 81,984 is: 108,992.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,668 : 81,984 = 81,984 : x
  2. Step 2: Convert to fraction form
    61,668/81,984 = 81,984/x
  3. Step 3: Cross multiply
    61,668x = 81,984 × 81,984
  4. Step 4: Simplify right side
    61,668x = 6,721,376,256
  5. Step 5: Solve for x
    x = 6,721,376,256/61,668
  6. Step 6: Final answer
    x = 108,992.93

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.