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Finding the Third Proportional to 104,426 and 157,100

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Solution

The third proportional to 104,426 and 157,100 is: 236,343.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,426 : 157,100 = 157,100 : x
  2. Step 2: Convert to fraction form
    104,426/157,100 = 157,100/x
  3. Step 3: Cross multiply
    104,426x = 157,100 × 157,100
  4. Step 4: Simplify right side
    104,426x = 24,680,410,000
  5. Step 5: Solve for x
    x = 24,680,410,000/104,426
  6. Step 6: Final answer
    x = 236,343.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.