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Finding the Third Proportional to 95,509 and 205,689

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Solution

The third proportional to 95,509 and 205,689 is: 442,973.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,509 : 205,689 = 205,689 : x
  2. Step 2: Convert to fraction form
    95,509/205,689 = 205,689/x
  3. Step 3: Cross multiply
    95,509x = 205,689 × 205,689
  4. Step 4: Simplify right side
    95,509x = 42,307,964,721
  5. Step 5: Solve for x
    x = 42,307,964,721/95,509
  6. Step 6: Final answer
    x = 442,973.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.