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Finding the Third Proportional to 101,136 and 224,736

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Solution

The third proportional to 101,136 and 224,736 is: 499,389.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,136 : 224,736 = 224,736 : x
  2. Step 2: Convert to fraction form
    101,136/224,736 = 224,736/x
  3. Step 3: Cross multiply
    101,136x = 224,736 × 224,736
  4. Step 4: Simplify right side
    101,136x = 50,506,269,696
  5. Step 5: Solve for x
    x = 50,506,269,696/101,136
  6. Step 6: Final answer
    x = 499,389.63

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.