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Finding the Third Proportional to 41,712 and 89,944

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Solution

The third proportional to 41,712 and 89,944 is: 193,947.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,712 : 89,944 = 89,944 : x
  2. Step 2: Convert to fraction form
    41,712/89,944 = 89,944/x
  3. Step 3: Cross multiply
    41,712x = 89,944 × 89,944
  4. Step 4: Simplify right side
    41,712x = 8,089,923,136
  5. Step 5: Solve for x
    x = 8,089,923,136/41,712
  6. Step 6: Final answer
    x = 193,947.14

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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.