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Finding the Third Proportional to 104,409 and 159,061.50

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Solution

The third proportional to 104,409 and 159,061.50 is: 242,321.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,409 : 159,061.50 = 159,061.50 : x
  2. Step 2: Convert to fraction form
    104,409/159,061.50 = 159,061.50/x
  3. Step 3: Cross multiply
    104,409x = 159,061.50 × 159,061.50
  4. Step 4: Simplify right side
    104,409x = 25,300,560,782.25
  5. Step 5: Solve for x
    x = 25,300,560,782.25/104,409
  6. Step 6: Final answer
    x = 242,321.65

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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.