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Finding the Third Proportional to 60,733.50 and 128,068.50

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Solution

The third proportional to 60,733.50 and 128,068.50 is: 270,057.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,733.50 : 128,068.50 = 128,068.50 : x
  2. Step 2: Convert to fraction form
    60,733.50/128,068.50 = 128,068.50/x
  3. Step 3: Cross multiply
    60,733.50x = 128,068.50 × 128,068.50
  4. Step 4: Simplify right side
    60,733.50x = 16,401,540,692.25
  5. Step 5: Solve for x
    x = 16,401,540,692.25/60,733.50
  6. Step 6: Final answer
    x = 270,057.56

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.