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Finding the Third Proportional to 48,374.75 and 113,827.25

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Solution

The third proportional to 48,374.75 and 113,827.25 is: 267,838.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,374.75 : 113,827.25 = 113,827.25 : x
  2. Step 2: Convert to fraction form
    48,374.75/113,827.25 = 113,827.25/x
  3. Step 3: Cross multiply
    48,374.75x = 113,827.25 × 113,827.25
  4. Step 4: Simplify right side
    48,374.75x = 12,956,642,842.56
  5. Step 5: Solve for x
    x = 12,956,642,842.56/48,374.75
  6. Step 6: Final answer
    x = 267,838.96

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.