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Finding the Third Proportional to 98,340 and 147,606

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Solution

The third proportional to 98,340 and 147,606 is: 221,553.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,340 : 147,606 = 147,606 : x
  2. Step 2: Convert to fraction form
    98,340/147,606 = 147,606/x
  3. Step 3: Cross multiply
    98,340x = 147,606 × 147,606
  4. Step 4: Simplify right side
    98,340x = 21,787,531,236
  5. Step 5: Solve for x
    x = 21,787,531,236/98,340
  6. Step 6: Final answer
    x = 221,553.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.