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Finding the Third Proportional to 70,970 and 153,936

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Solution

The third proportional to 70,970 and 153,936 is: 333,891.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,970 : 153,936 = 153,936 : x
  2. Step 2: Convert to fraction form
    70,970/153,936 = 153,936/x
  3. Step 3: Cross multiply
    70,970x = 153,936 × 153,936
  4. Step 4: Simplify right side
    70,970x = 23,696,292,096
  5. Step 5: Solve for x
    x = 23,696,292,096/70,970
  6. Step 6: Final answer
    x = 333,891.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.