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Finding the Third Proportional to 95,892.50 and 201,894

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Solution

The third proportional to 95,892.50 and 201,894 is: 425,071.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,892.50 : 201,894 = 201,894 : x
  2. Step 2: Convert to fraction form
    95,892.50/201,894 = 201,894/x
  3. Step 3: Cross multiply
    95,892.50x = 201,894 × 201,894
  4. Step 4: Simplify right side
    95,892.50x = 40,761,187,236
  5. Step 5: Solve for x
    x = 40,761,187,236/95,892.50
  6. Step 6: Final answer
    x = 425,071.69

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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.