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Finding the Third Proportional to 62,055 and 131,421

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Solution

The third proportional to 62,055 and 131,421 is: 278,325.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,055 : 131,421 = 131,421 : x
  2. Step 2: Convert to fraction form
    62,055/131,421 = 131,421/x
  3. Step 3: Cross multiply
    62,055x = 131,421 × 131,421
  4. Step 4: Simplify right side
    62,055x = 17,271,479,241
  5. Step 5: Solve for x
    x = 17,271,479,241/62,055
  6. Step 6: Final answer
    x = 278,325.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.