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Finding the Third Proportional to 74,076.75 and 117,676.13

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Solution

The third proportional to 74,076.75 and 117,676.13 is: 186,936.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,076.75 : 117,676.13 = 117,676.13 : x
  2. Step 2: Convert to fraction form
    74,076.75/117,676.13 = 117,676.13/x
  3. Step 3: Cross multiply
    74,076.75x = 117,676.13 × 117,676.13
  4. Step 4: Simplify right side
    74,076.75x = 13,847,670,395.02
  5. Step 5: Solve for x
    x = 13,847,670,395.02/74,076.75
  6. Step 6: Final answer
    x = 186,936.80

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.