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Finding the Third Proportional to 102,796 and 149,819

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Solution

The third proportional to 102,796 and 149,819 is: 218,352.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,796 : 149,819 = 149,819 : x
  2. Step 2: Convert to fraction form
    102,796/149,819 = 149,819/x
  3. Step 3: Cross multiply
    102,796x = 149,819 × 149,819
  4. Step 4: Simplify right side
    102,796x = 22,445,732,761
  5. Step 5: Solve for x
    x = 22,445,732,761/102,796
  6. Step 6: Final answer
    x = 218,352.20

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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.