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Finding the Third Proportional to 60,328.50 and 128,667

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Solution

The third proportional to 60,328.50 and 128,667 is: 274,417.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,328.50 : 128,667 = 128,667 : x
  2. Step 2: Convert to fraction form
    60,328.50/128,667 = 128,667/x
  3. Step 3: Cross multiply
    60,328.50x = 128,667 × 128,667
  4. Step 4: Simplify right side
    60,328.50x = 16,555,196,889
  5. Step 5: Solve for x
    x = 16,555,196,889/60,328.50
  6. Step 6: Final answer
    x = 274,417.51

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.