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Finding the Third Proportional to 56,425 and 122,692

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Solution

The third proportional to 56,425 and 122,692 is: 266,784.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,425 : 122,692 = 122,692 : x
  2. Step 2: Convert to fraction form
    56,425/122,692 = 122,692/x
  3. Step 3: Cross multiply
    56,425x = 122,692 × 122,692
  4. Step 4: Simplify right side
    56,425x = 15,053,326,864
  5. Step 5: Solve for x
    x = 15,053,326,864/56,425
  6. Step 6: Final answer
    x = 266,784.70

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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.