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Finding the Third Proportional to 127,125 and 192,328.50

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Solution

The third proportional to 127,125 and 192,328.50 is: 290,975.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,125 : 192,328.50 = 192,328.50 : x
  2. Step 2: Convert to fraction form
    127,125/192,328.50 = 192,328.50/x
  3. Step 3: Cross multiply
    127,125x = 192,328.50 × 192,328.50
  4. Step 4: Simplify right side
    127,125x = 36,990,251,912.25
  5. Step 5: Solve for x
    x = 36,990,251,912.25/127,125
  6. Step 6: Final answer
    x = 290,975.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.