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Finding the Third Proportional to 42,183 and 63,207

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Solution

The third proportional to 42,183 and 63,207 is: 94,709.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,183 : 63,207 = 63,207 : x
  2. Step 2: Convert to fraction form
    42,183/63,207 = 63,207/x
  3. Step 3: Cross multiply
    42,183x = 63,207 × 63,207
  4. Step 4: Simplify right side
    42,183x = 3,995,124,849
  5. Step 5: Solve for x
    x = 3,995,124,849/42,183
  6. Step 6: Final answer
    x = 94,709.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.