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Finding the Third Proportional to 115,749 and 173,947.50

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Solution

The third proportional to 115,749 and 173,947.50 is: 261,408.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,749 : 173,947.50 = 173,947.50 : x
  2. Step 2: Convert to fraction form
    115,749/173,947.50 = 173,947.50/x
  3. Step 3: Cross multiply
    115,749x = 173,947.50 × 173,947.50
  4. Step 4: Simplify right side
    115,749x = 30,257,732,756.25
  5. Step 5: Solve for x
    x = 30,257,732,756.25/115,749
  6. Step 6: Final answer
    x = 261,408.16

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