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Finding the Third Proportional to 95,547 and 188,742

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Solution

The third proportional to 95,547 and 188,742 is: 372,837.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,547 : 188,742 = 188,742 : x
  2. Step 2: Convert to fraction form
    95,547/188,742 = 188,742/x
  3. Step 3: Cross multiply
    95,547x = 188,742 × 188,742
  4. Step 4: Simplify right side
    95,547x = 35,623,542,564
  5. Step 5: Solve for x
    x = 35,623,542,564/95,547
  6. Step 6: Final answer
    x = 372,837.90

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.