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Finding the Third Proportional to 32,094 and 66,233

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Solution

The third proportional to 32,094 and 66,233 is: 136,686.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,094 : 66,233 = 66,233 : x
  2. Step 2: Convert to fraction form
    32,094/66,233 = 66,233/x
  3. Step 3: Cross multiply
    32,094x = 66,233 × 66,233
  4. Step 4: Simplify right side
    32,094x = 4,386,810,289
  5. Step 5: Solve for x
    x = 4,386,810,289/32,094
  6. Step 6: Final answer
    x = 136,686.31

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.