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Finding the Third Proportional to 45,309.50 and 105,343

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Solution

The third proportional to 45,309.50 and 105,343 is: 244,918.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,309.50 : 105,343 = 105,343 : x
  2. Step 2: Convert to fraction form
    45,309.50/105,343 = 105,343/x
  3. Step 3: Cross multiply
    45,309.50x = 105,343 × 105,343
  4. Step 4: Simplify right side
    45,309.50x = 11,097,147,649
  5. Step 5: Solve for x
    x = 11,097,147,649/45,309.50
  6. Step 6: Final answer
    x = 244,918.78

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.