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Finding the Third Proportional to 110,300 and 147,912

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Solution

The third proportional to 110,300 and 147,912 is: 198,349.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,300 : 147,912 = 147,912 : x
  2. Step 2: Convert to fraction form
    110,300/147,912 = 147,912/x
  3. Step 3: Cross multiply
    110,300x = 147,912 × 147,912
  4. Step 4: Simplify right side
    110,300x = 21,877,959,744
  5. Step 5: Solve for x
    x = 21,877,959,744/110,300
  6. Step 6: Final answer
    x = 198,349.59

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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.