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Finding the Third Proportional to 52,303 and 113,192

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Solution

The third proportional to 52,303 and 113,192 is: 244,965.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,303 : 113,192 = 113,192 : x
  2. Step 2: Convert to fraction form
    52,303/113,192 = 113,192/x
  3. Step 3: Cross multiply
    52,303x = 113,192 × 113,192
  4. Step 4: Simplify right side
    52,303x = 12,812,428,864
  5. Step 5: Solve for x
    x = 12,812,428,864/52,303
  6. Step 6: Final answer
    x = 244,965.47

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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.