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Finding the Third Proportional to 53,494.50 and 112,956.75

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Solution

The third proportional to 53,494.50 and 112,956.75 is: 238,514.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,494.50 : 112,956.75 = 112,956.75 : x
  2. Step 2: Convert to fraction form
    53,494.50/112,956.75 = 112,956.75/x
  3. Step 3: Cross multiply
    53,494.50x = 112,956.75 × 112,956.75
  4. Step 4: Simplify right side
    53,494.50x = 12,759,227,370.56
  5. Step 5: Solve for x
    x = 12,759,227,370.56/53,494.50
  6. Step 6: Final answer
    x = 238,514.75

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.