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Finding the Third Proportional to 71,262 and 153,936

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Solution

The third proportional to 71,262 and 153,936 is: 332,523.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,262 : 153,936 = 153,936 : x
  2. Step 2: Convert to fraction form
    71,262/153,936 = 153,936/x
  3. Step 3: Cross multiply
    71,262x = 153,936 × 153,936
  4. Step 4: Simplify right side
    71,262x = 23,696,292,096
  5. Step 5: Solve for x
    x = 23,696,292,096/71,262
  6. Step 6: Final answer
    x = 332,523.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.