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Finding the Third Proportional to 32,164 and 68,576

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Solution

The third proportional to 32,164 and 68,576 is: 146,209.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,164 : 68,576 = 68,576 : x
  2. Step 2: Convert to fraction form
    32,164/68,576 = 68,576/x
  3. Step 3: Cross multiply
    32,164x = 68,576 × 68,576
  4. Step 4: Simplify right side
    32,164x = 4,702,667,776
  5. Step 5: Solve for x
    x = 4,702,667,776/32,164
  6. Step 6: Final answer
    x = 146,209.05

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.