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Finding the Third Proportional to 70,731 and 94,431

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Solution

The third proportional to 70,731 and 94,431 is: 126,072.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,731 : 94,431 = 94,431 : x
  2. Step 2: Convert to fraction form
    70,731/94,431 = 94,431/x
  3. Step 3: Cross multiply
    70,731x = 94,431 × 94,431
  4. Step 4: Simplify right side
    70,731x = 8,917,213,761
  5. Step 5: Solve for x
    x = 8,917,213,761/70,731
  6. Step 6: Final answer
    x = 126,072.21

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.