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Finding the Third Proportional to 42,545 and 91,408

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Solution

The third proportional to 42,545 and 91,408 is: 196,390.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,545 : 91,408 = 91,408 : x
  2. Step 2: Convert to fraction form
    42,545/91,408 = 91,408/x
  3. Step 3: Cross multiply
    42,545x = 91,408 × 91,408
  4. Step 4: Simplify right side
    42,545x = 8,355,422,464
  5. Step 5: Solve for x
    x = 8,355,422,464/42,545
  6. Step 6: Final answer
    x = 196,390.23

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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.