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Finding the Third Proportional to 52,609.50 and 112,691.25

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Solution

The third proportional to 52,609.50 and 112,691.25 is: 241,388.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,609.50 : 112,691.25 = 112,691.25 : x
  2. Step 2: Convert to fraction form
    52,609.50/112,691.25 = 112,691.25/x
  3. Step 3: Cross multiply
    52,609.50x = 112,691.25 × 112,691.25
  4. Step 4: Simplify right side
    52,609.50x = 12,699,317,826.56
  5. Step 5: Solve for x
    x = 12,699,317,826.56/52,609.50
  6. Step 6: Final answer
    x = 241,388.30

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.