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Finding the Third Proportional to 122,563.13 and 192,587.63

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Solution

The third proportional to 122,563.13 and 192,587.63 is: 302,619.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,563.13 : 192,587.63 = 192,587.63 : x
  2. Step 2: Convert to fraction form
    122,563.13/192,587.63 = 192,587.63/x
  3. Step 3: Cross multiply
    122,563.13x = 192,587.63 × 192,587.63
  4. Step 4: Simplify right side
    122,563.13x = 37,089,993,303.14
  5. Step 5: Solve for x
    x = 37,089,993,303.14/122,563.13
  6. Step 6: Final answer
    x = 302,619.51

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.