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Finding the Third Proportional to 106,803.75 and 161,025.75

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Solution

The third proportional to 106,803.75 and 161,025.75 is: 242,775.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,803.75 : 161,025.75 = 161,025.75 : x
  2. Step 2: Convert to fraction form
    106,803.75/161,025.75 = 161,025.75/x
  3. Step 3: Cross multiply
    106,803.75x = 161,025.75 × 161,025.75
  4. Step 4: Simplify right side
    106,803.75x = 25,929,292,163.06
  5. Step 5: Solve for x
    x = 25,929,292,163.06/106,803.75
  6. Step 6: Final answer
    x = 242,775.11

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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.