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Finding the Third Proportional to 72,589 and 108,883.50

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Solution

The third proportional to 72,589 and 108,883.50 is: 163,325.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,589 : 108,883.50 = 108,883.50 : x
  2. Step 2: Convert to fraction form
    72,589/108,883.50 = 108,883.50/x
  3. Step 3: Cross multiply
    72,589x = 108,883.50 × 108,883.50
  4. Step 4: Simplify right side
    72,589x = 11,855,616,572.25
  5. Step 5: Solve for x
    x = 11,855,616,572.25/72,589
  6. Step 6: Final answer
    x = 163,325.25

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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.