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Finding the Third Proportional to 62,686 and 130,556

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Solution

The third proportional to 62,686 and 130,556 is: 271,908.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,686 : 130,556 = 130,556 : x
  2. Step 2: Convert to fraction form
    62,686/130,556 = 130,556/x
  3. Step 3: Cross multiply
    62,686x = 130,556 × 130,556
  4. Step 4: Simplify right side
    62,686x = 17,044,869,136
  5. Step 5: Solve for x
    x = 17,044,869,136/62,686
  6. Step 6: Final answer
    x = 271,908.71

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.