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Finding the Third Proportional to 62,324 and 133,504

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Solution

The third proportional to 62,324 and 133,504 is: 285,978.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,324 : 133,504 = 133,504 : x
  2. Step 2: Convert to fraction form
    62,324/133,504 = 133,504/x
  3. Step 3: Cross multiply
    62,324x = 133,504 × 133,504
  4. Step 4: Simplify right side
    62,324x = 17,823,318,016
  5. Step 5: Solve for x
    x = 17,823,318,016/62,324
  6. Step 6: Final answer
    x = 285,978.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.