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Finding the Third Proportional to 90,076.50 and 195,537

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Solution

The third proportional to 90,076.50 and 195,537 is: 424,469.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,076.50 : 195,537 = 195,537 : x
  2. Step 2: Convert to fraction form
    90,076.50/195,537 = 195,537/x
  3. Step 3: Cross multiply
    90,076.50x = 195,537 × 195,537
  4. Step 4: Simplify right side
    90,076.50x = 38,234,718,369
  5. Step 5: Solve for x
    x = 38,234,718,369/90,076.50
  6. Step 6: Final answer
    x = 424,469.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.