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Finding the Third Proportional to 98,725 and 192,530

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Solution

The third proportional to 98,725 and 192,530 is: 375,465.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,725 : 192,530 = 192,530 : x
  2. Step 2: Convert to fraction form
    98,725/192,530 = 192,530/x
  3. Step 3: Cross multiply
    98,725x = 192,530 × 192,530
  4. Step 4: Simplify right side
    98,725x = 37,067,800,900
  5. Step 5: Solve for x
    x = 37,067,800,900/98,725
  6. Step 6: Final answer
    x = 375,465.19

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.