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Finding the Third Proportional to 44,254 and 67,727

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Solution

The third proportional to 44,254 and 67,727 is: 103,650.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,254 : 67,727 = 67,727 : x
  2. Step 2: Convert to fraction form
    44,254/67,727 = 67,727/x
  3. Step 3: Cross multiply
    44,254x = 67,727 × 67,727
  4. Step 4: Simplify right side
    44,254x = 4,586,946,529
  5. Step 5: Solve for x
    x = 4,586,946,529/44,254
  6. Step 6: Final answer
    x = 103,650.44

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.