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Finding the Third Proportional to 101,274 and 134,412

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Solution

The third proportional to 101,274 and 134,412 is: 178,393.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,274 : 134,412 = 134,412 : x
  2. Step 2: Convert to fraction form
    101,274/134,412 = 134,412/x
  3. Step 3: Cross multiply
    101,274x = 134,412 × 134,412
  4. Step 4: Simplify right side
    101,274x = 18,066,585,744
  5. Step 5: Solve for x
    x = 18,066,585,744/101,274
  6. Step 6: Final answer
    x = 178,393.13

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.