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Finding the Third Proportional to 44,134.75 and 104,101

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Solution

The third proportional to 44,134.75 and 104,101 is: 245,543.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,134.75 : 104,101 = 104,101 : x
  2. Step 2: Convert to fraction form
    44,134.75/104,101 = 104,101/x
  3. Step 3: Cross multiply
    44,134.75x = 104,101 × 104,101
  4. Step 4: Simplify right side
    44,134.75x = 10,837,018,201
  5. Step 5: Solve for x
    x = 10,837,018,201/44,134.75
  6. Step 6: Final answer
    x = 245,543.89

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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.