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Finding the Third Proportional to 101,603 and 154,430

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Solution

The third proportional to 101,603 and 154,430 is: 234,723.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,603 : 154,430 = 154,430 : x
  2. Step 2: Convert to fraction form
    101,603/154,430 = 154,430/x
  3. Step 3: Cross multiply
    101,603x = 154,430 × 154,430
  4. Step 4: Simplify right side
    101,603x = 23,848,624,900
  5. Step 5: Solve for x
    x = 23,848,624,900/101,603
  6. Step 6: Final answer
    x = 234,723.63

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.