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Finding the Third Proportional to 104,448.50 and 159,120.50

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Solution

The third proportional to 104,448.50 and 159,120.50 is: 242,409.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,448.50 : 159,120.50 = 159,120.50 : x
  2. Step 2: Convert to fraction form
    104,448.50/159,120.50 = 159,120.50/x
  3. Step 3: Cross multiply
    104,448.50x = 159,120.50 × 159,120.50
  4. Step 4: Simplify right side
    104,448.50x = 25,319,333,520.25
  5. Step 5: Solve for x
    x = 25,319,333,520.25/104,448.50
  6. Step 6: Final answer
    x = 242,409.74

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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.