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Finding the Third Proportional to 29,164 and 63,869

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Solution

The third proportional to 29,164 and 63,869 is: 139,872.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,164 : 63,869 = 63,869 : x
  2. Step 2: Convert to fraction form
    29,164/63,869 = 63,869/x
  3. Step 3: Cross multiply
    29,164x = 63,869 × 63,869
  4. Step 4: Simplify right side
    29,164x = 4,079,249,161
  5. Step 5: Solve for x
    x = 4,079,249,161/29,164
  6. Step 6: Final answer
    x = 139,872.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.