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Finding the Third Proportional to 48,224 and 116,136

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Solution

The third proportional to 48,224 and 116,136 is: 279,685.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,224 : 116,136 = 116,136 : x
  2. Step 2: Convert to fraction form
    48,224/116,136 = 116,136/x
  3. Step 3: Cross multiply
    48,224x = 116,136 × 116,136
  4. Step 4: Simplify right side
    48,224x = 13,487,570,496
  5. Step 5: Solve for x
    x = 13,487,570,496/48,224
  6. Step 6: Final answer
    x = 279,685.85

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.