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Finding the Third Proportional to 66,123 and 99,185

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Solution

The third proportional to 66,123 and 99,185 is: 148,778.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,123 : 99,185 = 99,185 : x
  2. Step 2: Convert to fraction form
    66,123/99,185 = 99,185/x
  3. Step 3: Cross multiply
    66,123x = 99,185 × 99,185
  4. Step 4: Simplify right side
    66,123x = 9,837,664,225
  5. Step 5: Solve for x
    x = 9,837,664,225/66,123
  6. Step 6: Final answer
    x = 148,778.25

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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.