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Finding the Third Proportional to 45,058 and 104,423

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Solution

The third proportional to 45,058 and 104,423 is: 242,002.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,058 : 104,423 = 104,423 : x
  2. Step 2: Convert to fraction form
    45,058/104,423 = 104,423/x
  3. Step 3: Cross multiply
    45,058x = 104,423 × 104,423
  4. Step 4: Simplify right side
    45,058x = 10,904,162,929
  5. Step 5: Solve for x
    x = 10,904,162,929/45,058
  6. Step 6: Final answer
    x = 242,002.82

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.