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Finding the Third Proportional to 50,006 and 70,331

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Solution

The third proportional to 50,006 and 70,331 is: 98,917.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,006 : 70,331 = 70,331 : x
  2. Step 2: Convert to fraction form
    50,006/70,331 = 70,331/x
  3. Step 3: Cross multiply
    50,006x = 70,331 × 70,331
  4. Step 4: Simplify right side
    50,006x = 4,946,449,561
  5. Step 5: Solve for x
    x = 4,946,449,561/50,006
  6. Step 6: Final answer
    x = 98,917.12

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.