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Finding the Third Proportional to 73,511 and 109,975

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Solution

The third proportional to 73,511 and 109,975 is: 164,526.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,511 : 109,975 = 109,975 : x
  2. Step 2: Convert to fraction form
    73,511/109,975 = 109,975/x
  3. Step 3: Cross multiply
    73,511x = 109,975 × 109,975
  4. Step 4: Simplify right side
    73,511x = 12,094,500,625
  5. Step 5: Solve for x
    x = 12,094,500,625/73,511
  6. Step 6: Final answer
    x = 164,526.41

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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.