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Finding the Third Proportional to 62,285 and 136,666

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Solution

The third proportional to 62,285 and 136,666 is: 299,873.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,285 : 136,666 = 136,666 : x
  2. Step 2: Convert to fraction form
    62,285/136,666 = 136,666/x
  3. Step 3: Cross multiply
    62,285x = 136,666 × 136,666
  4. Step 4: Simplify right side
    62,285x = 18,677,595,556
  5. Step 5: Solve for x
    x = 18,677,595,556/62,285
  6. Step 6: Final answer
    x = 299,873.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.