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Finding the Third Proportional to 92,952 and 197,892

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Solution

The third proportional to 92,952 and 197,892 is: 421,306.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,952 : 197,892 = 197,892 : x
  2. Step 2: Convert to fraction form
    92,952/197,892 = 197,892/x
  3. Step 3: Cross multiply
    92,952x = 197,892 × 197,892
  4. Step 4: Simplify right side
    92,952x = 39,161,243,664
  5. Step 5: Solve for x
    x = 39,161,243,664/92,952
  6. Step 6: Final answer
    x = 421,306.09

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.