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Finding the Third Proportional to 42,201 and 90,054

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Solution

The third proportional to 42,201 and 90,054 is: 192,168.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,201 : 90,054 = 90,054 : x
  2. Step 2: Convert to fraction form
    42,201/90,054 = 90,054/x
  3. Step 3: Cross multiply
    42,201x = 90,054 × 90,054
  4. Step 4: Simplify right side
    42,201x = 8,109,722,916
  5. Step 5: Solve for x
    x = 8,109,722,916/42,201
  6. Step 6: Final answer
    x = 192,168.98

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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.