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Finding the Third Proportional to 103,695 and 158,819

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Solution

The third proportional to 103,695 and 158,819 is: 243,246.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,695 : 158,819 = 158,819 : x
  2. Step 2: Convert to fraction form
    103,695/158,819 = 158,819/x
  3. Step 3: Cross multiply
    103,695x = 158,819 × 158,819
  4. Step 4: Simplify right side
    103,695x = 25,223,474,761
  5. Step 5: Solve for x
    x = 25,223,474,761/103,695
  6. Step 6: Final answer
    x = 243,246.78

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.