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Finding the Third Proportional to 44,109 and 95,629

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Solution

The third proportional to 44,109 and 95,629 is: 207,325.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,109 : 95,629 = 95,629 : x
  2. Step 2: Convert to fraction form
    44,109/95,629 = 95,629/x
  3. Step 3: Cross multiply
    44,109x = 95,629 × 95,629
  4. Step 4: Simplify right side
    44,109x = 9,144,905,641
  5. Step 5: Solve for x
    x = 9,144,905,641/44,109
  6. Step 6: Final answer
    x = 207,325.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.