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Finding the Third Proportional to 110,974.50 and 169,228.50

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Solution

The third proportional to 110,974.50 and 169,228.50 is: 258,061.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,974.50 : 169,228.50 = 169,228.50 : x
  2. Step 2: Convert to fraction form
    110,974.50/169,228.50 = 169,228.50/x
  3. Step 3: Cross multiply
    110,974.50x = 169,228.50 × 169,228.50
  4. Step 4: Simplify right side
    110,974.50x = 28,638,285,212.25
  5. Step 5: Solve for x
    x = 28,638,285,212.25/110,974.50
  6. Step 6: Final answer
    x = 258,061.85

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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.