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Finding the Third Proportional to 44,456 and 104,937

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Solution

The third proportional to 44,456 and 104,937 is: 247,700.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,456 : 104,937 = 104,937 : x
  2. Step 2: Convert to fraction form
    44,456/104,937 = 104,937/x
  3. Step 3: Cross multiply
    44,456x = 104,937 × 104,937
  4. Step 4: Simplify right side
    44,456x = 11,011,773,969
  5. Step 5: Solve for x
    x = 11,011,773,969/44,456
  6. Step 6: Final answer
    x = 247,700.51

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.