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Finding the Third Proportional to 90,852 and 137,097

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Solution

The third proportional to 90,852 and 137,097 is: 206,881.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,852 : 137,097 = 137,097 : x
  2. Step 2: Convert to fraction form
    90,852/137,097 = 137,097/x
  3. Step 3: Cross multiply
    90,852x = 137,097 × 137,097
  4. Step 4: Simplify right side
    90,852x = 18,795,587,409
  5. Step 5: Solve for x
    x = 18,795,587,409/90,852
  6. Step 6: Final answer
    x = 206,881.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.