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Finding the Third Proportional to 73,917 and 118,564

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Solution

The third proportional to 73,917 and 118,564 is: 190,178.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,917 : 118,564 = 118,564 : x
  2. Step 2: Convert to fraction form
    73,917/118,564 = 118,564/x
  3. Step 3: Cross multiply
    73,917x = 118,564 × 118,564
  4. Step 4: Simplify right side
    73,917x = 14,057,422,096
  5. Step 5: Solve for x
    x = 14,057,422,096/73,917
  6. Step 6: Final answer
    x = 190,178.47

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.