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Finding the Third Proportional to 70,500 and 103,102

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Solution

The third proportional to 70,500 and 103,102 is: 150,780.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,500 : 103,102 = 103,102 : x
  2. Step 2: Convert to fraction form
    70,500/103,102 = 103,102/x
  3. Step 3: Cross multiply
    70,500x = 103,102 × 103,102
  4. Step 4: Simplify right side
    70,500x = 10,630,022,404
  5. Step 5: Solve for x
    x = 10,630,022,404/70,500
  6. Step 6: Final answer
    x = 150,780.46

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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.