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Finding the Third Proportional to 95,352 and 188,310

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Solution

The third proportional to 95,352 and 188,310 is: 371,892.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,352 : 188,310 = 188,310 : x
  2. Step 2: Convert to fraction form
    95,352/188,310 = 188,310/x
  3. Step 3: Cross multiply
    95,352x = 188,310 × 188,310
  4. Step 4: Simplify right side
    95,352x = 35,460,656,100
  5. Step 5: Solve for x
    x = 35,460,656,100/95,352
  6. Step 6: Final answer
    x = 371,892.11

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.