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Finding the Third Proportional to 52,982 and 113,173

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Solution

The third proportional to 52,982 and 113,173 is: 241,744.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,982 : 113,173 = 113,173 : x
  2. Step 2: Convert to fraction form
    52,982/113,173 = 113,173/x
  3. Step 3: Cross multiply
    52,982x = 113,173 × 113,173
  4. Step 4: Simplify right side
    52,982x = 12,808,127,929
  5. Step 5: Solve for x
    x = 12,808,127,929/52,982
  6. Step 6: Final answer
    x = 241,744.89

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.