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Finding the Third Proportional to 107,059.50 and 164,622

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Solution

The third proportional to 107,059.50 and 164,622 is: 253,134.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,059.50 : 164,622 = 164,622 : x
  2. Step 2: Convert to fraction form
    107,059.50/164,622 = 164,622/x
  3. Step 3: Cross multiply
    107,059.50x = 164,622 × 164,622
  4. Step 4: Simplify right side
    107,059.50x = 27,100,402,884
  5. Step 5: Solve for x
    x = 27,100,402,884/107,059.50
  6. Step 6: Final answer
    x = 253,134.03

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.