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Finding the Third Proportional to 70,096 and 153,763

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Solution

The third proportional to 70,096 and 153,763 is: 337,295.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,096 : 153,763 = 153,763 : x
  2. Step 2: Convert to fraction form
    70,096/153,763 = 153,763/x
  3. Step 3: Cross multiply
    70,096x = 153,763 × 153,763
  4. Step 4: Simplify right side
    70,096x = 23,643,060,169
  5. Step 5: Solve for x
    x = 23,643,060,169/70,096
  6. Step 6: Final answer
    x = 337,295.43

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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.