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Finding the Third Proportional to 74,994.75 and 105,474.94

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Solution

The third proportional to 74,994.75 and 105,474.94 is: 148,343.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,994.75 : 105,474.94 = 105,474.94 : x
  2. Step 2: Convert to fraction form
    74,994.75/105,474.94 = 105,474.94/x
  3. Step 3: Cross multiply
    74,994.75x = 105,474.94 × 105,474.94
  4. Step 4: Simplify right side
    74,994.75x = 11,124,962,440.63
  5. Step 5: Solve for x
    x = 11,124,962,440.63/74,994.75
  6. Step 6: Final answer
    x = 148,343.22

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.