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Finding the Third Proportional to 47,567.25 and 112,691.25

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Solution

The third proportional to 47,567.25 and 112,691.25 is: 266,976.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,567.25 : 112,691.25 = 112,691.25 : x
  2. Step 2: Convert to fraction form
    47,567.25/112,691.25 = 112,691.25/x
  3. Step 3: Cross multiply
    47,567.25x = 112,691.25 × 112,691.25
  4. Step 4: Simplify right side
    47,567.25x = 12,699,317,826.56
  5. Step 5: Solve for x
    x = 12,699,317,826.56/47,567.25
  6. Step 6: Final answer
    x = 266,976.08

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These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.