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Finding the Third Proportional to 101,019 and 149,574

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Solution

The third proportional to 101,019 and 149,574 is: 221,467.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,019 : 149,574 = 149,574 : x
  2. Step 2: Convert to fraction form
    101,019/149,574 = 149,574/x
  3. Step 3: Cross multiply
    101,019x = 149,574 × 149,574
  4. Step 4: Simplify right side
    101,019x = 22,372,381,476
  5. Step 5: Solve for x
    x = 22,372,381,476/101,019
  6. Step 6: Final answer
    x = 221,467.07

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.