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Finding the Third Proportional to 72,706.50 and 158,945

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Solution

The third proportional to 72,706.50 and 158,945 is: 347,472.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,706.50 : 158,945 = 158,945 : x
  2. Step 2: Convert to fraction form
    72,706.50/158,945 = 158,945/x
  3. Step 3: Cross multiply
    72,706.50x = 158,945 × 158,945
  4. Step 4: Simplify right side
    72,706.50x = 25,263,513,025
  5. Step 5: Solve for x
    x = 25,263,513,025/72,706.50
  6. Step 6: Final answer
    x = 347,472.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.