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Finding the Third Proportional to 66,123 and 146,958

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Solution

The third proportional to 66,123 and 146,958 is: 326,613.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,123 : 146,958 = 146,958 : x
  2. Step 2: Convert to fraction form
    66,123/146,958 = 146,958/x
  3. Step 3: Cross multiply
    66,123x = 146,958 × 146,958
  4. Step 4: Simplify right side
    66,123x = 21,596,653,764
  5. Step 5: Solve for x
    x = 21,596,653,764/66,123
  6. Step 6: Final answer
    x = 326,613.34

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.