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Finding the Third Proportional to 37,148 and 76,104

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Solution

The third proportional to 37,148 and 76,104 is: 155,912.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,148 : 76,104 = 76,104 : x
  2. Step 2: Convert to fraction form
    37,148/76,104 = 76,104/x
  3. Step 3: Cross multiply
    37,148x = 76,104 × 76,104
  4. Step 4: Simplify right side
    37,148x = 5,791,818,816
  5. Step 5: Solve for x
    x = 5,791,818,816/37,148
  6. Step 6: Final answer
    x = 155,912.00

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.