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Finding the Third Proportional to 104,964 and 164,184

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Solution

The third proportional to 104,964 and 164,184 is: 256,815.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,964 : 164,184 = 164,184 : x
  2. Step 2: Convert to fraction form
    104,964/164,184 = 164,184/x
  3. Step 3: Cross multiply
    104,964x = 164,184 × 164,184
  4. Step 4: Simplify right side
    104,964x = 26,956,385,856
  5. Step 5: Solve for x
    x = 26,956,385,856/104,964
  6. Step 6: Final answer
    x = 256,815.54

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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.