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Finding the Third Proportional to 122,127.75 and 265,163.63

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Solution

The third proportional to 122,127.75 and 265,163.63 is: 575,722.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,127.75 : 265,163.63 = 265,163.63 : x
  2. Step 2: Convert to fraction form
    122,127.75/265,163.63 = 265,163.63/x
  3. Step 3: Cross multiply
    122,127.75x = 265,163.63 × 265,163.63
  4. Step 4: Simplify right side
    122,127.75x = 70,311,748,023.14
  5. Step 5: Solve for x
    x = 70,311,748,023.14/122,127.75
  6. Step 6: Final answer
    x = 575,722.95

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.