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Finding the Third Proportional to 42,232 and 90,944

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Solution

The third proportional to 42,232 and 90,944 is: 195,842.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,232 : 90,944 = 90,944 : x
  2. Step 2: Convert to fraction form
    42,232/90,944 = 90,944/x
  3. Step 3: Cross multiply
    42,232x = 90,944 × 90,944
  4. Step 4: Simplify right side
    42,232x = 8,270,811,136
  5. Step 5: Solve for x
    x = 8,270,811,136/42,232
  6. Step 6: Final answer
    x = 195,842.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.