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Finding the Third Proportional to 42,446 and 91,575

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Solution

The third proportional to 42,446 and 91,575 is: 197,568.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,446 : 91,575 = 91,575 : x
  2. Step 2: Convert to fraction form
    42,446/91,575 = 91,575/x
  3. Step 3: Cross multiply
    42,446x = 91,575 × 91,575
  4. Step 4: Simplify right side
    42,446x = 8,385,980,625
  5. Step 5: Solve for x
    x = 8,385,980,625/42,446
  6. Step 6: Final answer
    x = 197,568.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.