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Finding the Third Proportional to 45,942 and 69,273

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Solution

The third proportional to 45,942 and 69,273 is: 104,452.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,942 : 69,273 = 69,273 : x
  2. Step 2: Convert to fraction form
    45,942/69,273 = 69,273/x
  3. Step 3: Cross multiply
    45,942x = 69,273 × 69,273
  4. Step 4: Simplify right side
    45,942x = 4,798,748,529
  5. Step 5: Solve for x
    x = 4,798,748,529/45,942
  6. Step 6: Final answer
    x = 104,452.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.