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Finding the Third Proportional to 72,590 and 108,885

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Solution

The third proportional to 72,590 and 108,885 is: 163,327.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,590 : 108,885 = 108,885 : x
  2. Step 2: Convert to fraction form
    72,590/108,885 = 108,885/x
  3. Step 3: Cross multiply
    72,590x = 108,885 × 108,885
  4. Step 4: Simplify right side
    72,590x = 11,855,943,225
  5. Step 5: Solve for x
    x = 11,855,943,225/72,590
  6. Step 6: Final answer
    x = 163,327.50

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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.