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Finding the Third Proportional to 42,883 and 93,182

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Solution

The third proportional to 42,883 and 93,182 is: 202,478.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,883 : 93,182 = 93,182 : x
  2. Step 2: Convert to fraction form
    42,883/93,182 = 93,182/x
  3. Step 3: Cross multiply
    42,883x = 93,182 × 93,182
  4. Step 4: Simplify right side
    42,883x = 8,682,885,124
  5. Step 5: Solve for x
    x = 8,682,885,124/42,883
  6. Step 6: Final answer
    x = 202,478.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.