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Finding the Third Proportional to 42,738 and 70,936

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Solution

The third proportional to 42,738 and 70,936 is: 117,738.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,738 : 70,936 = 70,936 : x
  2. Step 2: Convert to fraction form
    42,738/70,936 = 70,936/x
  3. Step 3: Cross multiply
    42,738x = 70,936 × 70,936
  4. Step 4: Simplify right side
    42,738x = 5,031,916,096
  5. Step 5: Solve for x
    x = 5,031,916,096/42,738
  6. Step 6: Final answer
    x = 117,738.69

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.