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Finding the Third Proportional to 42,204.25 and 90,058.38

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Solution

The third proportional to 42,204.25 and 90,058.38 is: 192,172.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,204.25 : 90,058.38 = 90,058.38 : x
  2. Step 2: Convert to fraction form
    42,204.25/90,058.38 = 90,058.38/x
  3. Step 3: Cross multiply
    42,204.25x = 90,058.38 × 90,058.38
  4. Step 4: Simplify right side
    42,204.25x = 8,110,510,907.64
  5. Step 5: Solve for x
    x = 8,110,510,907.64/42,204.25
  6. Step 6: Final answer
    x = 192,172.85

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.