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Finding the Third Proportional to 90,077.50 and 195,539

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Solution

The third proportional to 90,077.50 and 195,539 is: 424,473.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,077.50 : 195,539 = 195,539 : x
  2. Step 2: Convert to fraction form
    90,077.50/195,539 = 195,539/x
  3. Step 3: Cross multiply
    90,077.50x = 195,539 × 195,539
  4. Step 4: Simplify right side
    90,077.50x = 38,235,500,521
  5. Step 5: Solve for x
    x = 38,235,500,521/90,077.50
  6. Step 6: Final answer
    x = 424,473.38

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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.