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Finding the Third Proportional to 32,754 and 76,992

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Solution

The third proportional to 32,754 and 76,992 is: 180,978.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,754 : 76,992 = 76,992 : x
  2. Step 2: Convert to fraction form
    32,754/76,992 = 76,992/x
  3. Step 3: Cross multiply
    32,754x = 76,992 × 76,992
  4. Step 4: Simplify right side
    32,754x = 5,927,768,064
  5. Step 5: Solve for x
    x = 5,927,768,064/32,754
  6. Step 6: Final answer
    x = 180,978.45

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.