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Finding the Third Proportional to 50,033 and 73,045

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Solution

The third proportional to 50,033 and 73,045 is: 106,641.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,033 : 73,045 = 73,045 : x
  2. Step 2: Convert to fraction form
    50,033/73,045 = 73,045/x
  3. Step 3: Cross multiply
    50,033x = 73,045 × 73,045
  4. Step 4: Simplify right side
    50,033x = 5,335,572,025
  5. Step 5: Solve for x
    x = 5,335,572,025/50,033
  6. Step 6: Final answer
    x = 106,641.06

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.