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Finding the Third Proportional to 101,004 and 149,562

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Solution

The third proportional to 101,004 and 149,562 is: 221,464.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,004 : 149,562 = 149,562 : x
  2. Step 2: Convert to fraction form
    101,004/149,562 = 149,562/x
  3. Step 3: Cross multiply
    101,004x = 149,562 × 149,562
  4. Step 4: Simplify right side
    101,004x = 22,368,791,844
  5. Step 5: Solve for x
    x = 22,368,791,844/101,004
  6. Step 6: Final answer
    x = 221,464.42

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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.