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Finding the Third Proportional to 55,692 and 80,464

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Solution

The third proportional to 55,692 and 80,464 is: 116,254.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,692 : 80,464 = 80,464 : x
  2. Step 2: Convert to fraction form
    55,692/80,464 = 80,464/x
  3. Step 3: Cross multiply
    55,692x = 80,464 × 80,464
  4. Step 4: Simplify right side
    55,692x = 6,474,455,296
  5. Step 5: Solve for x
    x = 6,474,455,296/55,692
  6. Step 6: Final answer
    x = 116,254.67

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.