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Finding the Third Proportional to 42,098 and 60,819

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Solution

The third proportional to 42,098 and 60,819 is: 87,865.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,098 : 60,819 = 60,819 : x
  2. Step 2: Convert to fraction form
    42,098/60,819 = 60,819/x
  3. Step 3: Cross multiply
    42,098x = 60,819 × 60,819
  4. Step 4: Simplify right side
    42,098x = 3,698,950,761
  5. Step 5: Solve for x
    x = 3,698,950,761/42,098
  6. Step 6: Final answer
    x = 87,865.24

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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.