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Finding the Third Proportional to 76,177 and 115,887

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Solution

The third proportional to 76,177 and 115,887 is: 176,297.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,177 : 115,887 = 115,887 : x
  2. Step 2: Convert to fraction form
    76,177/115,887 = 115,887/x
  3. Step 3: Cross multiply
    76,177x = 115,887 × 115,887
  4. Step 4: Simplify right side
    76,177x = 13,429,796,769
  5. Step 5: Solve for x
    x = 13,429,796,769/76,177
  6. Step 6: Final answer
    x = 176,297.27

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.