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Finding the Third Proportional to 103,684 and 158,803

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Solution

The third proportional to 103,684 and 158,803 is: 243,223.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,684 : 158,803 = 158,803 : x
  2. Step 2: Convert to fraction form
    103,684/158,803 = 158,803/x
  3. Step 3: Cross multiply
    103,684x = 158,803 × 158,803
  4. Step 4: Simplify right side
    103,684x = 25,218,392,809
  5. Step 5: Solve for x
    x = 25,218,392,809/103,684
  6. Step 6: Final answer
    x = 243,223.57

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Why These Related Problems?

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