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Finding the Third Proportional to 52,599 and 113,673

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Solution

The third proportional to 52,599 and 113,673 is: 245,661.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,599 : 113,673 = 113,673 : x
  2. Step 2: Convert to fraction form
    52,599/113,673 = 113,673/x
  3. Step 3: Cross multiply
    52,599x = 113,673 × 113,673
  4. Step 4: Simplify right side
    52,599x = 12,921,550,929
  5. Step 5: Solve for x
    x = 12,921,550,929/52,599
  6. Step 6: Final answer
    x = 245,661.53

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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.