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Finding the Third Proportional to 73,696.50 and 173,237.25

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Solution

The third proportional to 73,696.50 and 173,237.25 is: 407,226.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,696.50 : 173,237.25 = 173,237.25 : x
  2. Step 2: Convert to fraction form
    73,696.50/173,237.25 = 173,237.25/x
  3. Step 3: Cross multiply
    73,696.50x = 173,237.25 × 173,237.25
  4. Step 4: Simplify right side
    73,696.50x = 30,011,144,787.56
  5. Step 5: Solve for x
    x = 30,011,144,787.56/73,696.50
  6. Step 6: Final answer
    x = 407,226.19

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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.