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Finding the Third Proportional to 104,812 and 148,164

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Solution

The third proportional to 104,812 and 148,164 is: 209,447.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,812 : 148,164 = 148,164 : x
  2. Step 2: Convert to fraction form
    104,812/148,164 = 148,164/x
  3. Step 3: Cross multiply
    104,812x = 148,164 × 148,164
  4. Step 4: Simplify right side
    104,812x = 21,952,570,896
  5. Step 5: Solve for x
    x = 21,952,570,896/104,812
  6. Step 6: Final answer
    x = 209,447.11

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.