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Finding the Third Proportional to 56,783 and 122,972

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Solution

The third proportional to 56,783 and 122,972 is: 266,314.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,783 : 122,972 = 122,972 : x
  2. Step 2: Convert to fraction form
    56,783/122,972 = 122,972/x
  3. Step 3: Cross multiply
    56,783x = 122,972 × 122,972
  4. Step 4: Simplify right side
    56,783x = 15,122,112,784
  5. Step 5: Solve for x
    x = 15,122,112,784/56,783
  6. Step 6: Final answer
    x = 266,314.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.