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Finding the Third Proportional to 95,784 and 202,032

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Solution

The third proportional to 95,784 and 202,032 is: 426,135.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,784 : 202,032 = 202,032 : x
  2. Step 2: Convert to fraction form
    95,784/202,032 = 202,032/x
  3. Step 3: Cross multiply
    95,784x = 202,032 × 202,032
  4. Step 4: Simplify right side
    95,784x = 40,816,929,024
  5. Step 5: Solve for x
    x = 40,816,929,024/95,784
  6. Step 6: Final answer
    x = 426,135.15

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.