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Finding the Third Proportional to 51,400 and 75,148

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Solution

The third proportional to 51,400 and 75,148 is: 109,868.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,400 : 75,148 = 75,148 : x
  2. Step 2: Convert to fraction form
    51,400/75,148 = 75,148/x
  3. Step 3: Cross multiply
    51,400x = 75,148 × 75,148
  4. Step 4: Simplify right side
    51,400x = 5,647,221,904
  5. Step 5: Solve for x
    x = 5,647,221,904/51,400
  6. Step 6: Final answer
    x = 109,868.13

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.