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Finding the Third Proportional to 142,059.50 and 236,735.50

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Solution

The third proportional to 142,059.50 and 236,735.50 is: 394,508.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,059.50 : 236,735.50 = 236,735.50 : x
  2. Step 2: Convert to fraction form
    142,059.50/236,735.50 = 236,735.50/x
  3. Step 3: Cross multiply
    142,059.50x = 236,735.50 × 236,735.50
  4. Step 4: Simplify right side
    142,059.50x = 56,043,696,960.25
  5. Step 5: Solve for x
    x = 56,043,696,960.25/142,059.50
  6. Step 6: Final answer
    x = 394,508.62

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.