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Finding the Third Proportional to 42,208 and 98,606

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Solution

The third proportional to 42,208 and 98,606 is: 230,362.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,208 : 98,606 = 98,606 : x
  2. Step 2: Convert to fraction form
    42,208/98,606 = 98,606/x
  3. Step 3: Cross multiply
    42,208x = 98,606 × 98,606
  4. Step 4: Simplify right side
    42,208x = 9,723,143,236
  5. Step 5: Solve for x
    x = 9,723,143,236/42,208
  6. Step 6: Final answer
    x = 230,362.57

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.