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Finding the Third Proportional to 94,264 and 195,089

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Solution

The third proportional to 94,264 and 195,089 is: 403,756.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,264 : 195,089 = 195,089 : x
  2. Step 2: Convert to fraction form
    94,264/195,089 = 195,089/x
  3. Step 3: Cross multiply
    94,264x = 195,089 × 195,089
  4. Step 4: Simplify right side
    94,264x = 38,059,717,921
  5. Step 5: Solve for x
    x = 38,059,717,921/94,264
  6. Step 6: Final answer
    x = 403,756.66

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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.