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Finding the Third Proportional to 52,633.50 and 116,931

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Solution

The third proportional to 52,633.50 and 116,931 is: 259,774.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,633.50 : 116,931 = 116,931 : x
  2. Step 2: Convert to fraction form
    52,633.50/116,931 = 116,931/x
  3. Step 3: Cross multiply
    52,633.50x = 116,931 × 116,931
  4. Step 4: Simplify right side
    52,633.50x = 13,672,858,761
  5. Step 5: Solve for x
    x = 13,672,858,761/52,633.50
  6. Step 6: Final answer
    x = 259,774.83

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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.