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Finding the Third Proportional to 88,257 and 135,036

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Solution

The third proportional to 88,257 and 135,036 is: 206,609.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,257 : 135,036 = 135,036 : x
  2. Step 2: Convert to fraction form
    88,257/135,036 = 135,036/x
  3. Step 3: Cross multiply
    88,257x = 135,036 × 135,036
  4. Step 4: Simplify right side
    88,257x = 18,234,721,296
  5. Step 5: Solve for x
    x = 18,234,721,296/88,257
  6. Step 6: Final answer
    x = 206,609.35

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.