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Finding the Third Proportional to 62,836 and 96,270

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Solution

The third proportional to 62,836 and 96,270 is: 147,493.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,836 : 96,270 = 96,270 : x
  2. Step 2: Convert to fraction form
    62,836/96,270 = 96,270/x
  3. Step 3: Cross multiply
    62,836x = 96,270 × 96,270
  4. Step 4: Simplify right side
    62,836x = 9,267,912,900
  5. Step 5: Solve for x
    x = 9,267,912,900/62,836
  6. Step 6: Final answer
    x = 147,493.68

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.