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Finding the Third Proportional to 82,803.50 and 110,855

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Solution

The third proportional to 82,803.50 and 110,855 is: 148,409.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,803.50 : 110,855 = 110,855 : x
  2. Step 2: Convert to fraction form
    82,803.50/110,855 = 110,855/x
  3. Step 3: Cross multiply
    82,803.50x = 110,855 × 110,855
  4. Step 4: Simplify right side
    82,803.50x = 12,288,831,025
  5. Step 5: Solve for x
    x = 12,288,831,025/82,803.50
  6. Step 6: Final answer
    x = 148,409.56

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.