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Finding the Third Proportional to 70,251.75 and 114,135.75

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Solution

The third proportional to 70,251.75 and 114,135.75 is: 185,432.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,251.75 : 114,135.75 = 114,135.75 : x
  2. Step 2: Convert to fraction form
    70,251.75/114,135.75 = 114,135.75/x
  3. Step 3: Cross multiply
    70,251.75x = 114,135.75 × 114,135.75
  4. Step 4: Simplify right side
    70,251.75x = 13,026,969,428.06
  5. Step 5: Solve for x
    x = 13,026,969,428.06/70,251.75
  6. Step 6: Final answer
    x = 185,432.67

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These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.