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Finding the Third Proportional to 89,383.50 and 119,718

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Solution

The third proportional to 89,383.50 and 119,718 is: 160,347.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,383.50 : 119,718 = 119,718 : x
  2. Step 2: Convert to fraction form
    89,383.50/119,718 = 119,718/x
  3. Step 3: Cross multiply
    89,383.50x = 119,718 × 119,718
  4. Step 4: Simplify right side
    89,383.50x = 14,332,399,524
  5. Step 5: Solve for x
    x = 14,332,399,524/89,383.50
  6. Step 6: Final answer
    x = 160,347.26

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Why These Related Problems?

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