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Finding the Third Proportional to 52,402 and 113,144

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Solution

The third proportional to 52,402 and 113,144 is: 244,295.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,402 : 113,144 = 113,144 : x
  2. Step 2: Convert to fraction form
    52,402/113,144 = 113,144/x
  3. Step 3: Cross multiply
    52,402x = 113,144 × 113,144
  4. Step 4: Simplify right side
    52,402x = 12,801,564,736
  5. Step 5: Solve for x
    x = 12,801,564,736/52,402
  6. Step 6: Final answer
    x = 244,295.35

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.