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Finding the Third Proportional to 127,130.06 and 192,336.75

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Solution

The third proportional to 127,130.06 and 192,336.75 is: 290,988.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,130.06 : 192,336.75 = 192,336.75 : x
  2. Step 2: Convert to fraction form
    127,130.06/192,336.75 = 192,336.75/x
  3. Step 3: Cross multiply
    127,130.06x = 192,336.75 × 192,336.75
  4. Step 4: Simplify right side
    127,130.06x = 36,993,425,400.56
  5. Step 5: Solve for x
    x = 36,993,425,400.56/127,130.06
  6. Step 6: Final answer
    x = 290,988.81

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