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Finding the Third Proportional to 32,154 and 66,772

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Solution

The third proportional to 32,154 and 66,772 is: 138,660.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,154 : 66,772 = 66,772 : x
  2. Step 2: Convert to fraction form
    32,154/66,772 = 66,772/x
  3. Step 3: Cross multiply
    32,154x = 66,772 × 66,772
  4. Step 4: Simplify right side
    32,154x = 4,458,499,984
  5. Step 5: Solve for x
    x = 4,458,499,984/32,154
  6. Step 6: Final answer
    x = 138,660.82

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.