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Finding the Third Proportional to 73,702.50 and 173,255.25

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Solution

The third proportional to 73,702.50 and 173,255.25 is: 407,277.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,702.50 : 173,255.25 = 173,255.25 : x
  2. Step 2: Convert to fraction form
    73,702.50/173,255.25 = 173,255.25/x
  3. Step 3: Cross multiply
    73,702.50x = 173,255.25 × 173,255.25
  4. Step 4: Simplify right side
    73,702.50x = 30,017,381,652.56
  5. Step 5: Solve for x
    x = 30,017,381,652.56/73,702.50
  6. Step 6: Final answer
    x = 407,277.66

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.