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Finding the Third Proportional to 45,096.75 and 70,100.44

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Solution

The third proportional to 45,096.75 and 70,100.44 is: 108,967.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,096.75 : 70,100.44 = 70,100.44 : x
  2. Step 2: Convert to fraction form
    45,096.75/70,100.44 = 70,100.44/x
  3. Step 3: Cross multiply
    45,096.75x = 70,100.44 × 70,100.44
  4. Step 4: Simplify right side
    45,096.75x = 4,914,071,337.69
  5. Step 5: Solve for x
    x = 4,914,071,337.69/45,096.75
  6. Step 6: Final answer
    x = 108,967.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.