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Finding the Third Proportional to 62,874 and 96,498

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Solution

The third proportional to 62,874 and 96,498 is: 148,103.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,874 : 96,498 = 96,498 : x
  2. Step 2: Convert to fraction form
    62,874/96,498 = 96,498/x
  3. Step 3: Cross multiply
    62,874x = 96,498 × 96,498
  4. Step 4: Simplify right side
    62,874x = 9,311,864,004
  5. Step 5: Solve for x
    x = 9,311,864,004/62,874
  6. Step 6: Final answer
    x = 148,103.57

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.