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Finding the Third Proportional to 102,106 and 149,199

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Solution

The third proportional to 102,106 and 149,199 is: 218,012.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,106 : 149,199 = 149,199 : x
  2. Step 2: Convert to fraction form
    102,106/149,199 = 149,199/x
  3. Step 3: Cross multiply
    102,106x = 149,199 × 149,199
  4. Step 4: Simplify right side
    102,106x = 22,260,341,601
  5. Step 5: Solve for x
    x = 22,260,341,601/102,106
  6. Step 6: Final answer
    x = 218,012.08

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.