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Finding the Third Proportional to 56,326 and 120,972

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Solution

The third proportional to 56,326 and 120,972 is: 259,812.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,326 : 120,972 = 120,972 : x
  2. Step 2: Convert to fraction form
    56,326/120,972 = 120,972/x
  3. Step 3: Cross multiply
    56,326x = 120,972 × 120,972
  4. Step 4: Simplify right side
    56,326x = 14,634,224,784
  5. Step 5: Solve for x
    x = 14,634,224,784/56,326
  6. Step 6: Final answer
    x = 259,812.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.