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Finding the Third Proportional to 53,059.64 and 80,272.69

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Solution

The third proportional to 53,059.64 and 80,272.69 is: 121,442.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,059.64 : 80,272.69 = 80,272.69 : x
  2. Step 2: Convert to fraction form
    53,059.64/80,272.69 = 80,272.69/x
  3. Step 3: Cross multiply
    53,059.64x = 80,272.69 × 80,272.69
  4. Step 4: Simplify right side
    53,059.64x = 6,443,704,358.47
  5. Step 5: Solve for x
    x = 6,443,704,358.47/53,059.64
  6. Step 6: Final answer
    x = 121,442.67

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.