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Finding the Third Proportional to 42,642 and 90,477

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Solution

The third proportional to 42,642 and 90,477 is: 191,972.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,642 : 90,477 = 90,477 : x
  2. Step 2: Convert to fraction form
    42,642/90,477 = 90,477/x
  3. Step 3: Cross multiply
    42,642x = 90,477 × 90,477
  4. Step 4: Simplify right side
    42,642x = 8,186,087,529
  5. Step 5: Solve for x
    x = 8,186,087,529/42,642
  6. Step 6: Final answer
    x = 191,972.41

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.