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Finding the Third Proportional to 52,826.63 and 117,463.50

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Solution

The third proportional to 52,826.63 and 117,463.50 is: 261,187.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,826.63 : 117,463.50 = 117,463.50 : x
  2. Step 2: Convert to fraction form
    52,826.63/117,463.50 = 117,463.50/x
  3. Step 3: Cross multiply
    52,826.63x = 117,463.50 × 117,463.50
  4. Step 4: Simplify right side
    52,826.63x = 13,797,673,832.25
  5. Step 5: Solve for x
    x = 13,797,673,832.25/52,826.63
  6. Step 6: Final answer
    x = 261,187.87

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.