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Finding the Third Proportional to 35,136 and 54,163

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Solution

The third proportional to 35,136 and 54,163 is: 83,493.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,136 : 54,163 = 54,163 : x
  2. Step 2: Convert to fraction form
    35,136/54,163 = 54,163/x
  3. Step 3: Cross multiply
    35,136x = 54,163 × 54,163
  4. Step 4: Simplify right side
    35,136x = 2,933,630,569
  5. Step 5: Solve for x
    x = 2,933,630,569/35,136
  6. Step 6: Final answer
    x = 83,493.58

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.