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Finding the Third Proportional to 74,146 and 114,906

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Solution

The third proportional to 74,146 and 114,906 is: 178,072.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,146 : 114,906 = 114,906 : x
  2. Step 2: Convert to fraction form
    74,146/114,906 = 114,906/x
  3. Step 3: Cross multiply
    74,146x = 114,906 × 114,906
  4. Step 4: Simplify right side
    74,146x = 13,203,388,836
  5. Step 5: Solve for x
    x = 13,203,388,836/74,146
  6. Step 6: Final answer
    x = 178,072.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.