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Finding the Third Proportional to 61,767.56 and 134,863.10

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Solution

The third proportional to 61,767.56 and 134,863.10 is: 294,459.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,767.56 : 134,863.10 = 134,863.10 : x
  2. Step 2: Convert to fraction form
    61,767.56/134,863.10 = 134,863.10/x
  3. Step 3: Cross multiply
    61,767.56x = 134,863.10 × 134,863.10
  4. Step 4: Simplify right side
    61,767.56x = 18,188,056,163.06
  5. Step 5: Solve for x
    x = 18,188,056,163.06/61,767.56
  6. Step 6: Final answer
    x = 294,459.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.