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Finding the Third Proportional to 101,703 and 151,939.50

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Solution

The third proportional to 101,703 and 151,939.50 is: 226,990.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,703 : 151,939.50 = 151,939.50 : x
  2. Step 2: Convert to fraction form
    101,703/151,939.50 = 151,939.50/x
  3. Step 3: Cross multiply
    101,703x = 151,939.50 × 151,939.50
  4. Step 4: Simplify right side
    101,703x = 23,085,611,660.25
  5. Step 5: Solve for x
    x = 23,085,611,660.25/101,703
  6. Step 6: Final answer
    x = 226,990.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.