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Finding the Third Proportional to 51,735 and 80,133

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Solution

The third proportional to 51,735 and 80,133 is: 124,119.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,735 : 80,133 = 80,133 : x
  2. Step 2: Convert to fraction form
    51,735/80,133 = 80,133/x
  3. Step 3: Cross multiply
    51,735x = 80,133 × 80,133
  4. Step 4: Simplify right side
    51,735x = 6,421,297,689
  5. Step 5: Solve for x
    x = 6,421,297,689/51,735
  6. Step 6: Final answer
    x = 124,119.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.