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Finding the Third Proportional to 104,511 and 159,223.50

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Solution

The third proportional to 104,511 and 159,223.50 is: 242,578.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,511 : 159,223.50 = 159,223.50 : x
  2. Step 2: Convert to fraction form
    104,511/159,223.50 = 159,223.50/x
  3. Step 3: Cross multiply
    104,511x = 159,223.50 × 159,223.50
  4. Step 4: Simplify right side
    104,511x = 25,352,122,952.25
  5. Step 5: Solve for x
    x = 25,352,122,952.25/104,511
  6. Step 6: Final answer
    x = 242,578.51

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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.