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Finding the Third Proportional to 89,030 and 118,930

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Solution

The third proportional to 89,030 and 118,930 is: 158,871.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,030 : 118,930 = 118,930 : x
  2. Step 2: Convert to fraction form
    89,030/118,930 = 118,930/x
  3. Step 3: Cross multiply
    89,030x = 118,930 × 118,930
  4. Step 4: Simplify right side
    89,030x = 14,144,344,900
  5. Step 5: Solve for x
    x = 14,144,344,900/89,030
  6. Step 6: Final answer
    x = 158,871.67

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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.