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Finding the Third Proportional to 62,714 and 134,059

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Solution

The third proportional to 62,714 and 134,059 is: 286,567.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,714 : 134,059 = 134,059 : x
  2. Step 2: Convert to fraction form
    62,714/134,059 = 134,059/x
  3. Step 3: Cross multiply
    62,714x = 134,059 × 134,059
  4. Step 4: Simplify right side
    62,714x = 17,971,815,481
  5. Step 5: Solve for x
    x = 17,971,815,481/62,714
  6. Step 6: Final answer
    x = 286,567.84

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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.