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Finding the Third Proportional to 69,888 and 149,184

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Solution

The third proportional to 69,888 and 149,184 is: 318,450.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,888 : 149,184 = 149,184 : x
  2. Step 2: Convert to fraction form
    69,888/149,184 = 149,184/x
  3. Step 3: Cross multiply
    69,888x = 149,184 × 149,184
  4. Step 4: Simplify right side
    69,888x = 22,255,865,856
  5. Step 5: Solve for x
    x = 22,255,865,856/69,888
  6. Step 6: Final answer
    x = 318,450.46

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.