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Finding the Third Proportional to 104,409 and 152,847

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Solution

The third proportional to 104,409 and 152,847 is: 223,756.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,409 : 152,847 = 152,847 : x
  2. Step 2: Convert to fraction form
    104,409/152,847 = 152,847/x
  3. Step 3: Cross multiply
    104,409x = 152,847 × 152,847
  4. Step 4: Simplify right side
    104,409x = 23,362,205,409
  5. Step 5: Solve for x
    x = 23,362,205,409/104,409
  6. Step 6: Final answer
    x = 223,756.62

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.