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Finding the Third Proportional to 74,274 and 175,158

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Solution

The third proportional to 74,274 and 175,158 is: 413,069.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,274 : 175,158 = 175,158 : x
  2. Step 2: Convert to fraction form
    74,274/175,158 = 175,158/x
  3. Step 3: Cross multiply
    74,274x = 175,158 × 175,158
  4. Step 4: Simplify right side
    74,274x = 30,680,324,964
  5. Step 5: Solve for x
    x = 30,680,324,964/74,274
  6. Step 6: Final answer
    x = 413,069.51

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.