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Finding the Third Proportional to 95,054 and 207,748

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Solution

The third proportional to 95,054 and 207,748 is: 454,049.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,054 : 207,748 = 207,748 : x
  2. Step 2: Convert to fraction form
    95,054/207,748 = 207,748/x
  3. Step 3: Cross multiply
    95,054x = 207,748 × 207,748
  4. Step 4: Simplify right side
    95,054x = 43,159,231,504
  5. Step 5: Solve for x
    x = 43,159,231,504/95,054
  6. Step 6: Final answer
    x = 454,049.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.