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Finding the Third Proportional to 44,525 and 105,109

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Solution

The third proportional to 44,525 and 105,109 is: 248,128.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,525 : 105,109 = 105,109 : x
  2. Step 2: Convert to fraction form
    44,525/105,109 = 105,109/x
  3. Step 3: Cross multiply
    44,525x = 105,109 × 105,109
  4. Step 4: Simplify right side
    44,525x = 11,047,901,881
  5. Step 5: Solve for x
    x = 11,047,901,881/44,525
  6. Step 6: Final answer
    x = 248,128.06

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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.