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Finding the Third Proportional to 66,123 and 144,180

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Solution

The third proportional to 66,123 and 144,180 is: 314,381.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,123 : 144,180 = 144,180 : x
  2. Step 2: Convert to fraction form
    66,123/144,180 = 144,180/x
  3. Step 3: Cross multiply
    66,123x = 144,180 × 144,180
  4. Step 4: Simplify right side
    66,123x = 20,787,872,400
  5. Step 5: Solve for x
    x = 20,787,872,400/66,123
  6. Step 6: Final answer
    x = 314,381.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.