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Finding the Third Proportional to 122,148 and 193,880.25

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Solution

The third proportional to 122,148 and 193,880.25 is: 307,737.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,148 : 193,880.25 = 193,880.25 : x
  2. Step 2: Convert to fraction form
    122,148/193,880.25 = 193,880.25/x
  3. Step 3: Cross multiply
    122,148x = 193,880.25 × 193,880.25
  4. Step 4: Simplify right side
    122,148x = 37,589,551,340.06
  5. Step 5: Solve for x
    x = 37,589,551,340.06/122,148
  6. Step 6: Final answer
    x = 307,737.76

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.