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Finding the Third Proportional to 87,136 and 188,528

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Solution

The third proportional to 87,136 and 188,528 is: 407,900.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,136 : 188,528 = 188,528 : x
  2. Step 2: Convert to fraction form
    87,136/188,528 = 188,528/x
  3. Step 3: Cross multiply
    87,136x = 188,528 × 188,528
  4. Step 4: Simplify right side
    87,136x = 35,542,806,784
  5. Step 5: Solve for x
    x = 35,542,806,784/87,136
  6. Step 6: Final answer
    x = 407,900.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.