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Finding the Third Proportional to 90,074 and 195,532

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Solution

The third proportional to 90,074 and 195,532 is: 424,459.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,074 : 195,532 = 195,532 : x
  2. Step 2: Convert to fraction form
    90,074/195,532 = 195,532/x
  3. Step 3: Cross multiply
    90,074x = 195,532 × 195,532
  4. Step 4: Simplify right side
    90,074x = 38,232,763,024
  5. Step 5: Solve for x
    x = 38,232,763,024/90,074
  6. Step 6: Final answer
    x = 424,459.48

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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.