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Finding the Third Proportional to 71,487 and 94,005

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Solution

The third proportional to 71,487 and 94,005 is: 123,616.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,487 : 94,005 = 94,005 : x
  2. Step 2: Convert to fraction form
    71,487/94,005 = 94,005/x
  3. Step 3: Cross multiply
    71,487x = 94,005 × 94,005
  4. Step 4: Simplify right side
    71,487x = 8,836,940,025
  5. Step 5: Solve for x
    x = 8,836,940,025/71,487
  6. Step 6: Final answer
    x = 123,616.04

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.