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Finding the Third Proportional to 62,184 and 133,240

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Solution

The third proportional to 62,184 and 133,240 is: 285,489.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,184 : 133,240 = 133,240 : x
  2. Step 2: Convert to fraction form
    62,184/133,240 = 133,240/x
  3. Step 3: Cross multiply
    62,184x = 133,240 × 133,240
  4. Step 4: Simplify right side
    62,184x = 17,752,897,600
  5. Step 5: Solve for x
    x = 17,752,897,600/62,184
  6. Step 6: Final answer
    x = 285,489.80

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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.