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Finding the Third Proportional to 56,180 and 120,136

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Solution

The third proportional to 56,180 and 120,136 is: 256,900.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,180 : 120,136 = 120,136 : x
  2. Step 2: Convert to fraction form
    56,180/120,136 = 120,136/x
  3. Step 3: Cross multiply
    56,180x = 120,136 × 120,136
  4. Step 4: Simplify right side
    56,180x = 14,432,658,496
  5. Step 5: Solve for x
    x = 14,432,658,496/56,180
  6. Step 6: Final answer
    x = 256,900.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.