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Finding the Third Proportional to 89,170.50 and 130,474.50

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Solution

The third proportional to 89,170.50 and 130,474.50 is: 190,910.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,170.50 : 130,474.50 = 130,474.50 : x
  2. Step 2: Convert to fraction form
    89,170.50/130,474.50 = 130,474.50/x
  3. Step 3: Cross multiply
    89,170.50x = 130,474.50 × 130,474.50
  4. Step 4: Simplify right side
    89,170.50x = 17,023,595,150.25
  5. Step 5: Solve for x
    x = 17,023,595,150.25/89,170.50
  6. Step 6: Final answer
    x = 190,910.62

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.