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Finding the Third Proportional to 115,806.25 and 173,027.63

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Solution

The third proportional to 115,806.25 and 173,027.63 is: 258,522.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,806.25 : 173,027.63 = 173,027.63 : x
  2. Step 2: Convert to fraction form
    115,806.25/173,027.63 = 173,027.63/x
  3. Step 3: Cross multiply
    115,806.25x = 173,027.63 × 173,027.63
  4. Step 4: Simplify right side
    115,806.25x = 29,938,559,013.14
  5. Step 5: Solve for x
    x = 29,938,559,013.14/115,806.25
  6. Step 6: Final answer
    x = 258,522.83

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.