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Finding the Third Proportional to 73,041 and 104,377.50

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Solution

The third proportional to 73,041 and 104,377.50 is: 149,158.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,041 : 104,377.50 = 104,377.50 : x
  2. Step 2: Convert to fraction form
    73,041/104,377.50 = 104,377.50/x
  3. Step 3: Cross multiply
    73,041x = 104,377.50 × 104,377.50
  4. Step 4: Simplify right side
    73,041x = 10,894,662,506.25
  5. Step 5: Solve for x
    x = 10,894,662,506.25/73,041
  6. Step 6: Final answer
    x = 149,158.18

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.