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Finding the Third Proportional to 76,463 and 118,104

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Solution

The third proportional to 76,463 and 118,104 is: 182,422.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,463 : 118,104 = 118,104 : x
  2. Step 2: Convert to fraction form
    76,463/118,104 = 118,104/x
  3. Step 3: Cross multiply
    76,463x = 118,104 × 118,104
  4. Step 4: Simplify right side
    76,463x = 13,948,554,816
  5. Step 5: Solve for x
    x = 13,948,554,816/76,463
  6. Step 6: Final answer
    x = 182,422.28

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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.