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Finding the Third Proportional to 104,268 and 148,562

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Solution

The third proportional to 104,268 and 148,562 is: 211,672.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,268 : 148,562 = 148,562 : x
  2. Step 2: Convert to fraction form
    104,268/148,562 = 148,562/x
  3. Step 3: Cross multiply
    104,268x = 148,562 × 148,562
  4. Step 4: Simplify right side
    104,268x = 22,070,667,844
  5. Step 5: Solve for x
    x = 22,070,667,844/104,268
  6. Step 6: Final answer
    x = 211,672.50

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.