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Finding the Third Proportional to 104,752 and 194,184

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Solution

The third proportional to 104,752 and 194,184 is: 359,968.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,752 : 194,184 = 194,184 : x
  2. Step 2: Convert to fraction form
    104,752/194,184 = 194,184/x
  3. Step 3: Cross multiply
    104,752x = 194,184 × 194,184
  4. Step 4: Simplify right side
    104,752x = 37,707,425,856
  5. Step 5: Solve for x
    x = 37,707,425,856/104,752
  6. Step 6: Final answer
    x = 359,968.55

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.