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Finding the Third Proportional to 44,516 and 104,042

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Solution

The third proportional to 44,516 and 104,042 is: 243,165.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,516 : 104,042 = 104,042 : x
  2. Step 2: Convert to fraction form
    44,516/104,042 = 104,042/x
  3. Step 3: Cross multiply
    44,516x = 104,042 × 104,042
  4. Step 4: Simplify right side
    44,516x = 10,824,737,764
  5. Step 5: Solve for x
    x = 10,824,737,764/44,516
  6. Step 6: Final answer
    x = 243,165.10

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.