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Finding the Third Proportional to 49,269.06 and 75,133.75

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Solution

The third proportional to 49,269.06 and 75,133.75 is: 114,576.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,269.06 : 75,133.75 = 75,133.75 : x
  2. Step 2: Convert to fraction form
    49,269.06/75,133.75 = 75,133.75/x
  3. Step 3: Cross multiply
    49,269.06x = 75,133.75 × 75,133.75
  4. Step 4: Simplify right side
    49,269.06x = 5,645,080,389.06
  5. Step 5: Solve for x
    x = 5,645,080,389.06/49,269.06
  6. Step 6: Final answer
    x = 114,576.57

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.