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Finding the Third Proportional to 45,019.13 and 108,033.75

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Solution

The third proportional to 45,019.13 and 108,033.75 is: 259,251.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,019.13 : 108,033.75 = 108,033.75 : x
  2. Step 2: Convert to fraction form
    45,019.13/108,033.75 = 108,033.75/x
  3. Step 3: Cross multiply
    45,019.13x = 108,033.75 × 108,033.75
  4. Step 4: Simplify right side
    45,019.13x = 11,671,291,139.06
  5. Step 5: Solve for x
    x = 11,671,291,139.06/45,019.13
  6. Step 6: Final answer
    x = 259,251.84

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.