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Finding the Third Proportional to 71,811 and 154,283.50

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Solution

The third proportional to 71,811 and 154,283.50 is: 331,472.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,811 : 154,283.50 = 154,283.50 : x
  2. Step 2: Convert to fraction form
    71,811/154,283.50 = 154,283.50/x
  3. Step 3: Cross multiply
    71,811x = 154,283.50 × 154,283.50
  4. Step 4: Simplify right side
    71,811x = 23,803,398,372.25
  5. Step 5: Solve for x
    x = 23,803,398,372.25/71,811
  6. Step 6: Final answer
    x = 331,472.87

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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.