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Finding the Third Proportional to 45,336 and 68,178

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Solution

The third proportional to 45,336 and 68,178 is: 102,528.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,336 : 68,178 = 68,178 : x
  2. Step 2: Convert to fraction form
    45,336/68,178 = 68,178/x
  3. Step 3: Cross multiply
    45,336x = 68,178 × 68,178
  4. Step 4: Simplify right side
    45,336x = 4,648,239,684
  5. Step 5: Solve for x
    x = 4,648,239,684/45,336
  6. Step 6: Final answer
    x = 102,528.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.