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Finding the Third Proportional to 54,343 and 72,136

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Solution

The third proportional to 54,343 and 72,136 is: 95,754.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,343 : 72,136 = 72,136 : x
  2. Step 2: Convert to fraction form
    54,343/72,136 = 72,136/x
  3. Step 3: Cross multiply
    54,343x = 72,136 × 72,136
  4. Step 4: Simplify right side
    54,343x = 5,203,602,496
  5. Step 5: Solve for x
    x = 5,203,602,496/54,343
  6. Step 6: Final answer
    x = 95,754.79

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.