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Finding the Third Proportional to 104,414 and 157,083

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Solution

The third proportional to 104,414 and 157,083 is: 236,319.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,414 : 157,083 = 157,083 : x
  2. Step 2: Convert to fraction form
    104,414/157,083 = 157,083/x
  3. Step 3: Cross multiply
    104,414x = 157,083 × 157,083
  4. Step 4: Simplify right side
    104,414x = 24,675,068,889
  5. Step 5: Solve for x
    x = 24,675,068,889/104,414
  6. Step 6: Final answer
    x = 236,319.54

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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.