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Finding the Third Proportional to 45,491 and 98,752

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Solution

The third proportional to 45,491 and 98,752 is: 214,371.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,491 : 98,752 = 98,752 : x
  2. Step 2: Convert to fraction form
    45,491/98,752 = 98,752/x
  3. Step 3: Cross multiply
    45,491x = 98,752 × 98,752
  4. Step 4: Simplify right side
    45,491x = 9,751,957,504
  5. Step 5: Solve for x
    x = 9,751,957,504/45,491
  6. Step 6: Final answer
    x = 214,371.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.