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Finding the Third Proportional to 50,184 and 93,186

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Solution

The third proportional to 50,184 and 93,186 is: 173,035.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,184 : 93,186 = 93,186 : x
  2. Step 2: Convert to fraction form
    50,184/93,186 = 93,186/x
  3. Step 3: Cross multiply
    50,184x = 93,186 × 93,186
  4. Step 4: Simplify right side
    50,184x = 8,683,630,596
  5. Step 5: Solve for x
    x = 8,683,630,596/50,184
  6. Step 6: Final answer
    x = 173,035.84

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.