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Finding the Third Proportional to 89,270 and 118,474.50

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Solution

The third proportional to 89,270 and 118,474.50 is: 157,233.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,270 : 118,474.50 = 118,474.50 : x
  2. Step 2: Convert to fraction form
    89,270/118,474.50 = 118,474.50/x
  3. Step 3: Cross multiply
    89,270x = 118,474.50 × 118,474.50
  4. Step 4: Simplify right side
    89,270x = 14,036,207,150.25
  5. Step 5: Solve for x
    x = 14,036,207,150.25/89,270
  6. Step 6: Final answer
    x = 157,233.19

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.