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Finding the Third Proportional to 122,205.50 and 188,051.50

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Solution

The third proportional to 122,205.50 and 188,051.50 is: 289,376.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,205.50 : 188,051.50 = 188,051.50 : x
  2. Step 2: Convert to fraction form
    122,205.50/188,051.50 = 188,051.50/x
  3. Step 3: Cross multiply
    122,205.50x = 188,051.50 × 188,051.50
  4. Step 4: Simplify right side
    122,205.50x = 35,363,366,652.25
  5. Step 5: Solve for x
    x = 35,363,366,652.25/122,205.50
  6. Step 6: Final answer
    x = 289,376.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.