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Finding the Third Proportional to 86,964 and 135,576

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Solution

The third proportional to 86,964 and 135,576 is: 211,361.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,964 : 135,576 = 135,576 : x
  2. Step 2: Convert to fraction form
    86,964/135,576 = 135,576/x
  3. Step 3: Cross multiply
    86,964x = 135,576 × 135,576
  4. Step 4: Simplify right side
    86,964x = 18,380,851,776
  5. Step 5: Solve for x
    x = 18,380,851,776/86,964
  6. Step 6: Final answer
    x = 211,361.62

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.