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Finding the Third Proportional to 89,736 and 125,736

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Solution

The third proportional to 89,736 and 125,736 is: 176,178.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,736 : 125,736 = 125,736 : x
  2. Step 2: Convert to fraction form
    89,736/125,736 = 125,736/x
  3. Step 3: Cross multiply
    89,736x = 125,736 × 125,736
  4. Step 4: Simplify right side
    89,736x = 15,809,541,696
  5. Step 5: Solve for x
    x = 15,809,541,696/89,736
  6. Step 6: Final answer
    x = 176,178.36

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.