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Finding the Third Proportional to 83,363 and 172,555

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Solution

The third proportional to 83,363 and 172,555 is: 357,175.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,363 : 172,555 = 172,555 : x
  2. Step 2: Convert to fraction form
    83,363/172,555 = 172,555/x
  3. Step 3: Cross multiply
    83,363x = 172,555 × 172,555
  4. Step 4: Simplify right side
    83,363x = 29,775,228,025
  5. Step 5: Solve for x
    x = 29,775,228,025/83,363
  6. Step 6: Final answer
    x = 357,175.58

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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.