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Finding the Third Proportional to 49,176 and 75,600

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Solution

The third proportional to 49,176 and 75,600 is: 116,222.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,176 : 75,600 = 75,600 : x
  2. Step 2: Convert to fraction form
    49,176/75,600 = 75,600/x
  3. Step 3: Cross multiply
    49,176x = 75,600 × 75,600
  4. Step 4: Simplify right side
    49,176x = 5,715,360,000
  5. Step 5: Solve for x
    x = 5,715,360,000/49,176
  6. Step 6: Final answer
    x = 116,222.55

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.