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Finding the Third Proportional to 49,086 and 75,492

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Solution

The third proportional to 49,086 and 75,492 is: 116,103.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,086 : 75,492 = 75,492 : x
  2. Step 2: Convert to fraction form
    49,086/75,492 = 75,492/x
  3. Step 3: Cross multiply
    49,086x = 75,492 × 75,492
  4. Step 4: Simplify right side
    49,086x = 5,699,042,064
  5. Step 5: Solve for x
    x = 5,699,042,064/49,086
  6. Step 6: Final answer
    x = 116,103.21

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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.