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Finding the Third Proportional to 55,522 and 118,976

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Solution

The third proportional to 55,522 and 118,976 is: 254,949.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,522 : 118,976 = 118,976 : x
  2. Step 2: Convert to fraction form
    55,522/118,976 = 118,976/x
  3. Step 3: Cross multiply
    55,522x = 118,976 × 118,976
  4. Step 4: Simplify right side
    55,522x = 14,155,288,576
  5. Step 5: Solve for x
    x = 14,155,288,576/55,522
  6. Step 6: Final answer
    x = 254,949.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.