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Finding the Third Proportional to 50,088 and 75,006

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Solution

The third proportional to 50,088 and 75,006 is: 112,320.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,088 : 75,006 = 75,006 : x
  2. Step 2: Convert to fraction form
    50,088/75,006 = 75,006/x
  3. Step 3: Cross multiply
    50,088x = 75,006 × 75,006
  4. Step 4: Simplify right side
    50,088x = 5,625,900,036
  5. Step 5: Solve for x
    x = 5,625,900,036/50,088
  6. Step 6: Final answer
    x = 112,320.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.