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Finding the Third Proportional to 89,265 and 122,401.50

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Solution

The third proportional to 89,265 and 122,401.50 is: 167,838.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,265 : 122,401.50 = 122,401.50 : x
  2. Step 2: Convert to fraction form
    89,265/122,401.50 = 122,401.50/x
  3. Step 3: Cross multiply
    89,265x = 122,401.50 × 122,401.50
  4. Step 4: Simplify right side
    89,265x = 14,982,127,202.25
  5. Step 5: Solve for x
    x = 14,982,127,202.25/89,265
  6. Step 6: Final answer
    x = 167,838.76

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.