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Finding the Third Proportional to 49,113 and 75,546

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Solution

The third proportional to 49,113 and 75,546 is: 116,205.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,113 : 75,546 = 75,546 : x
  2. Step 2: Convert to fraction form
    49,113/75,546 = 75,546/x
  3. Step 3: Cross multiply
    49,113x = 75,546 × 75,546
  4. Step 4: Simplify right side
    49,113x = 5,707,198,116
  5. Step 5: Solve for x
    x = 5,707,198,116/49,113
  6. Step 6: Final answer
    x = 116,205.45

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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.