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Finding the Third Proportional to 42,605 and 92,261.75

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Solution

The third proportional to 42,605 and 92,261.75 is: 199,794.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,605 : 92,261.75 = 92,261.75 : x
  2. Step 2: Convert to fraction form
    42,605/92,261.75 = 92,261.75/x
  3. Step 3: Cross multiply
    42,605x = 92,261.75 × 92,261.75
  4. Step 4: Simplify right side
    42,605x = 8,512,230,513.06
  5. Step 5: Solve for x
    x = 8,512,230,513.06/42,605
  6. Step 6: Final answer
    x = 199,794.17

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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.