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Finding the Third Proportional to 42,106 and 60,831

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Solution

The third proportional to 42,106 and 60,831 is: 87,883.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,106 : 60,831 = 60,831 : x
  2. Step 2: Convert to fraction form
    42,106/60,831 = 60,831/x
  3. Step 3: Cross multiply
    42,106x = 60,831 × 60,831
  4. Step 4: Simplify right side
    42,106x = 3,700,410,561
  5. Step 5: Solve for x
    x = 3,700,410,561/42,106
  6. Step 6: Final answer
    x = 87,883.21

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.