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Finding the Third Proportional to 42,451 and 91,424

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Solution

The third proportional to 42,451 and 91,424 is: 196,894.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,451 : 91,424 = 91,424 : x
  2. Step 2: Convert to fraction form
    42,451/91,424 = 91,424/x
  3. Step 3: Cross multiply
    42,451x = 91,424 × 91,424
  4. Step 4: Simplify right side
    42,451x = 8,358,347,776
  5. Step 5: Solve for x
    x = 8,358,347,776/42,451
  6. Step 6: Final answer
    x = 196,894.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.