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Finding the Third Proportional to 72,799 and 113,086

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Solution

The third proportional to 72,799 and 113,086 is: 175,667.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,799 : 113,086 = 113,086 : x
  2. Step 2: Convert to fraction form
    72,799/113,086 = 113,086/x
  3. Step 3: Cross multiply
    72,799x = 113,086 × 113,086
  4. Step 4: Simplify right side
    72,799x = 12,788,443,396
  5. Step 5: Solve for x
    x = 12,788,443,396/72,799
  6. Step 6: Final answer
    x = 175,667.84

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.