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Finding the Third Proportional to 104,511 and 157,002

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Solution

The third proportional to 104,511 and 157,002 is: 235,856.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,511 : 157,002 = 157,002 : x
  2. Step 2: Convert to fraction form
    104,511/157,002 = 157,002/x
  3. Step 3: Cross multiply
    104,511x = 157,002 × 157,002
  4. Step 4: Simplify right side
    104,511x = 24,649,628,004
  5. Step 5: Solve for x
    x = 24,649,628,004/104,511
  6. Step 6: Final answer
    x = 235,856.78

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