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Finding the Third Proportional to 87,570 and 181,368

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Solution

The third proportional to 87,570 and 181,368 is: 375,634.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,570 : 181,368 = 181,368 : x
  2. Step 2: Convert to fraction form
    87,570/181,368 = 181,368/x
  3. Step 3: Cross multiply
    87,570x = 181,368 × 181,368
  4. Step 4: Simplify right side
    87,570x = 32,894,351,424
  5. Step 5: Solve for x
    x = 32,894,351,424/87,570
  6. Step 6: Final answer
    x = 375,634.94

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.