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Finding the Third Proportional to 89,865.75 and 119,246.63

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Solution

The third proportional to 89,865.75 and 119,246.63 is: 158,233.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,865.75 : 119,246.63 = 119,246.63 : x
  2. Step 2: Convert to fraction form
    89,865.75/119,246.63 = 119,246.63/x
  3. Step 3: Cross multiply
    89,865.75x = 119,246.63 × 119,246.63
  4. Step 4: Simplify right side
    89,865.75x = 14,219,757,573.89
  5. Step 5: Solve for x
    x = 14,219,757,573.89/89,865.75
  6. Step 6: Final answer
    x = 158,233.34

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Why These Related Problems?

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