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Finding the Third Proportional to 144,961 and 204,136

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Solution

The third proportional to 144,961 and 204,136 is: 287,467.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,961 : 204,136 = 204,136 : x
  2. Step 2: Convert to fraction form
    144,961/204,136 = 204,136/x
  3. Step 3: Cross multiply
    144,961x = 204,136 × 204,136
  4. Step 4: Simplify right side
    144,961x = 41,671,506,496
  5. Step 5: Solve for x
    x = 41,671,506,496/144,961
  6. Step 6: Final answer
    x = 287,467.02

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.