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Finding the Third Proportional to 52,120.50 and 113,798

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Solution

The third proportional to 52,120.50 and 113,798 is: 248,462.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,120.50 : 113,798 = 113,798 : x
  2. Step 2: Convert to fraction form
    52,120.50/113,798 = 113,798/x
  3. Step 3: Cross multiply
    52,120.50x = 113,798 × 113,798
  4. Step 4: Simplify right side
    52,120.50x = 12,949,984,804
  5. Step 5: Solve for x
    x = 12,949,984,804/52,120.50
  6. Step 6: Final answer
    x = 248,462.41

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.