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Finding the Third Proportional to 62,894 and 134,794

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Solution

The third proportional to 62,894 and 134,794 is: 288,889.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,894 : 134,794 = 134,794 : x
  2. Step 2: Convert to fraction form
    62,894/134,794 = 134,794/x
  3. Step 3: Cross multiply
    62,894x = 134,794 × 134,794
  4. Step 4: Simplify right side
    62,894x = 18,169,422,436
  5. Step 5: Solve for x
    x = 18,169,422,436/62,894
  6. Step 6: Final answer
    x = 288,889.60

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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.