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Finding the Third Proportional to 87,560 and 181,348

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Solution

The third proportional to 87,560 and 181,348 is: 375,594.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,560 : 181,348 = 181,348 : x
  2. Step 2: Convert to fraction form
    87,560/181,348 = 181,348/x
  3. Step 3: Cross multiply
    87,560x = 181,348 × 181,348
  4. Step 4: Simplify right side
    87,560x = 32,887,097,104
  5. Step 5: Solve for x
    x = 32,887,097,104/87,560
  6. Step 6: Final answer
    x = 375,594.99

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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.