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Finding the Third Proportional to 95,526 and 207,642

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Solution

The third proportional to 95,526 and 207,642 is: 451,345.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,526 : 207,642 = 207,642 : x
  2. Step 2: Convert to fraction form
    95,526/207,642 = 207,642/x
  3. Step 3: Cross multiply
    95,526x = 207,642 × 207,642
  4. Step 4: Simplify right side
    95,526x = 43,115,200,164
  5. Step 5: Solve for x
    x = 43,115,200,164/95,526
  6. Step 6: Final answer
    x = 451,345.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.