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Finding the Third Proportional to 132,792 and 203,059.50

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Solution

The third proportional to 132,792 and 203,059.50 is: 310,509.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,792 : 203,059.50 = 203,059.50 : x
  2. Step 2: Convert to fraction form
    132,792/203,059.50 = 203,059.50/x
  3. Step 3: Cross multiply
    132,792x = 203,059.50 × 203,059.50
  4. Step 4: Simplify right side
    132,792x = 41,233,160,540.25
  5. Step 5: Solve for x
    x = 41,233,160,540.25/132,792
  6. Step 6: Final answer
    x = 310,509.37

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.