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Finding the Third Proportional to 86,774 and 117,873

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Solution

The third proportional to 86,774 and 117,873 is: 160,117.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,774 : 117,873 = 117,873 : x
  2. Step 2: Convert to fraction form
    86,774/117,873 = 117,873/x
  3. Step 3: Cross multiply
    86,774x = 117,873 × 117,873
  4. Step 4: Simplify right side
    86,774x = 13,894,044,129
  5. Step 5: Solve for x
    x = 13,894,044,129/86,774
  6. Step 6: Final answer
    x = 160,117.59

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.