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Finding the Third Proportional to 74,871 and 113,086

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Solution

The third proportional to 74,871 and 113,086 is: 170,806.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,871 : 113,086 = 113,086 : x
  2. Step 2: Convert to fraction form
    74,871/113,086 = 113,086/x
  3. Step 3: Cross multiply
    74,871x = 113,086 × 113,086
  4. Step 4: Simplify right side
    74,871x = 12,788,443,396
  5. Step 5: Solve for x
    x = 12,788,443,396/74,871
  6. Step 6: Final answer
    x = 170,806.37

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.