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Finding the Third Proportional to 89,047.69 and 125,401.50

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Solution

The third proportional to 89,047.69 and 125,401.50 is: 176,596.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,047.69 : 125,401.50 = 125,401.50 : x
  2. Step 2: Convert to fraction form
    89,047.69/125,401.50 = 125,401.50/x
  3. Step 3: Cross multiply
    89,047.69x = 125,401.50 × 125,401.50
  4. Step 4: Simplify right side
    89,047.69x = 15,725,536,202.25
  5. Step 5: Solve for x
    x = 15,725,536,202.25/89,047.69
  6. Step 6: Final answer
    x = 176,596.79

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.