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Finding the Third Proportional to 70,911 and 104,964.75

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Solution

The third proportional to 70,911 and 104,964.75 is: 155,372.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,911 : 104,964.75 = 104,964.75 : x
  2. Step 2: Convert to fraction form
    70,911/104,964.75 = 104,964.75/x
  3. Step 3: Cross multiply
    70,911x = 104,964.75 × 104,964.75
  4. Step 4: Simplify right side
    70,911x = 11,017,598,742.56
  5. Step 5: Solve for x
    x = 11,017,598,742.56/70,911
  6. Step 6: Final answer
    x = 155,372.21

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.