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Finding the Third Proportional to 63,964 and 102,186

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Solution

The third proportional to 63,964 and 102,186 is: 163,247.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,964 : 102,186 = 102,186 : x
  2. Step 2: Convert to fraction form
    63,964/102,186 = 102,186/x
  3. Step 3: Cross multiply
    63,964x = 102,186 × 102,186
  4. Step 4: Simplify right side
    63,964x = 10,441,978,596
  5. Step 5: Solve for x
    x = 10,441,978,596/63,964
  6. Step 6: Final answer
    x = 163,247.74

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.