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Finding the Third Proportional to 54,738.75 and 83,136

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Solution

The third proportional to 54,738.75 and 83,136 is: 126,265.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,738.75 : 83,136 = 83,136 : x
  2. Step 2: Convert to fraction form
    54,738.75/83,136 = 83,136/x
  3. Step 3: Cross multiply
    54,738.75x = 83,136 × 83,136
  4. Step 4: Simplify right side
    54,738.75x = 6,911,594,496
  5. Step 5: Solve for x
    x = 6,911,594,496/54,738.75
  6. Step 6: Final answer
    x = 126,265.11

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.