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Finding the Third Proportional to 45,136 and 90,447

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Solution

The third proportional to 45,136 and 90,447 is: 181,244.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,136 : 90,447 = 90,447 : x
  2. Step 2: Convert to fraction form
    45,136/90,447 = 90,447/x
  3. Step 3: Cross multiply
    45,136x = 90,447 × 90,447
  4. Step 4: Simplify right side
    45,136x = 8,180,659,809
  5. Step 5: Solve for x
    x = 8,180,659,809/45,136
  6. Step 6: Final answer
    x = 181,244.68

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.