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Finding the Third Proportional to 45,136 and 68,664

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Solution

The third proportional to 45,136 and 68,664 is: 104,456.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,136 : 68,664 = 68,664 : x
  2. Step 2: Convert to fraction form
    45,136/68,664 = 68,664/x
  3. Step 3: Cross multiply
    45,136x = 68,664 × 68,664
  4. Step 4: Simplify right side
    45,136x = 4,714,744,896
  5. Step 5: Solve for x
    x = 4,714,744,896/45,136
  6. Step 6: Final answer
    x = 104,456.42

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.