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Finding the Third Proportional to 70,498 and 103,100

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Solution

The third proportional to 70,498 and 103,100 is: 150,778.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,498 : 103,100 = 103,100 : x
  2. Step 2: Convert to fraction form
    70,498/103,100 = 103,100/x
  3. Step 3: Cross multiply
    70,498x = 103,100 × 103,100
  4. Step 4: Simplify right side
    70,498x = 10,629,610,000
  5. Step 5: Solve for x
    x = 10,629,610,000/70,498
  6. Step 6: Final answer
    x = 150,778.89

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.