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Finding the Third Proportional to 94,253.50 and 195,068

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Solution

The third proportional to 94,253.50 and 195,068 is: 403,714.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,253.50 : 195,068 = 195,068 : x
  2. Step 2: Convert to fraction form
    94,253.50/195,068 = 195,068/x
  3. Step 3: Cross multiply
    94,253.50x = 195,068 × 195,068
  4. Step 4: Simplify right side
    94,253.50x = 38,051,524,624
  5. Step 5: Solve for x
    x = 38,051,524,624/94,253.50
  6. Step 6: Final answer
    x = 403,714.71

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.