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Finding the Third Proportional to 70,516.50 and 146,865

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Solution

The third proportional to 70,516.50 and 146,865 is: 305,876.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,516.50 : 146,865 = 146,865 : x
  2. Step 2: Convert to fraction form
    70,516.50/146,865 = 146,865/x
  3. Step 3: Cross multiply
    70,516.50x = 146,865 × 146,865
  4. Step 4: Simplify right side
    70,516.50x = 21,569,328,225
  5. Step 5: Solve for x
    x = 21,569,328,225/70,516.50
  6. Step 6: Final answer
    x = 305,876.33

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.