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Finding the Third Proportional to 56,518 and 75,003

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Solution

The third proportional to 56,518 and 75,003 is: 99,533.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,518 : 75,003 = 75,003 : x
  2. Step 2: Convert to fraction form
    56,518/75,003 = 75,003/x
  3. Step 3: Cross multiply
    56,518x = 75,003 × 75,003
  4. Step 4: Simplify right side
    56,518x = 5,625,450,009
  5. Step 5: Solve for x
    x = 5,625,450,009/56,518
  6. Step 6: Final answer
    x = 99,533.78

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.