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Finding the Third Proportional to 89,023.50 and 118,912.50

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Solution

The third proportional to 89,023.50 and 118,912.50 is: 158,836.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,023.50 : 118,912.50 = 118,912.50 : x
  2. Step 2: Convert to fraction form
    89,023.50/118,912.50 = 118,912.50/x
  3. Step 3: Cross multiply
    89,023.50x = 118,912.50 × 118,912.50
  4. Step 4: Simplify right side
    89,023.50x = 14,140,182,656.25
  5. Step 5: Solve for x
    x = 14,140,182,656.25/89,023.50
  6. Step 6: Final answer
    x = 158,836.52

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.