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Finding the Third Proportional to 55,830 and 121,494

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Solution

The third proportional to 55,830 and 121,494 is: 264,388.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,830 : 121,494 = 121,494 : x
  2. Step 2: Convert to fraction form
    55,830/121,494 = 121,494/x
  3. Step 3: Cross multiply
    55,830x = 121,494 × 121,494
  4. Step 4: Simplify right side
    55,830x = 14,760,792,036
  5. Step 5: Solve for x
    x = 14,760,792,036/55,830
  6. Step 6: Final answer
    x = 264,388.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.