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Finding the Third Proportional to 103,819.50 and 159,156

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Solution

The third proportional to 103,819.50 and 159,156 is: 243,987.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,819.50 : 159,156 = 159,156 : x
  2. Step 2: Convert to fraction form
    103,819.50/159,156 = 159,156/x
  3. Step 3: Cross multiply
    103,819.50x = 159,156 × 159,156
  4. Step 4: Simplify right side
    103,819.50x = 25,330,632,336
  5. Step 5: Solve for x
    x = 25,330,632,336/103,819.50
  6. Step 6: Final answer
    x = 243,987.23

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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.