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Finding the Third Proportional to 70,096 and 107,190

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Solution

The third proportional to 70,096 and 107,190 is: 163,913.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,096 : 107,190 = 107,190 : x
  2. Step 2: Convert to fraction form
    70,096/107,190 = 107,190/x
  3. Step 3: Cross multiply
    70,096x = 107,190 × 107,190
  4. Step 4: Simplify right side
    70,096x = 11,489,696,100
  5. Step 5: Solve for x
    x = 11,489,696,100/70,096
  6. Step 6: Final answer
    x = 163,913.72

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.