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Finding the Third Proportional to 90,104 and 195,580

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Solution

The third proportional to 90,104 and 195,580 is: 424,526.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,104 : 195,580 = 195,580 : x
  2. Step 2: Convert to fraction form
    90,104/195,580 = 195,580/x
  3. Step 3: Cross multiply
    90,104x = 195,580 × 195,580
  4. Step 4: Simplify right side
    90,104x = 38,251,536,400
  5. Step 5: Solve for x
    x = 38,251,536,400/90,104
  6. Step 6: Final answer
    x = 424,526.51

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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.