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Finding the Third Proportional to 102,795 and 149,817

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Solution

The third proportional to 102,795 and 149,817 is: 218,348.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,795 : 149,817 = 149,817 : x
  2. Step 2: Convert to fraction form
    102,795/149,817 = 149,817/x
  3. Step 3: Cross multiply
    102,795x = 149,817 × 149,817
  4. Step 4: Simplify right side
    102,795x = 22,445,133,489
  5. Step 5: Solve for x
    x = 22,445,133,489/102,795
  6. Step 6: Final answer
    x = 218,348.49

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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.