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Finding the Third Proportional to 87,302 and 188,527

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Solution

The third proportional to 87,302 and 188,527 is: 407,120.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,302 : 188,527 = 188,527 : x
  2. Step 2: Convert to fraction form
    87,302/188,527 = 188,527/x
  3. Step 3: Cross multiply
    87,302x = 188,527 × 188,527
  4. Step 4: Simplify right side
    87,302x = 35,542,429,729
  5. Step 5: Solve for x
    x = 35,542,429,729/87,302
  6. Step 6: Final answer
    x = 407,120.45

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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.