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Finding the Third Proportional to 56,163 and 122,165.25

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Solution

The third proportional to 56,163 and 122,165.25 is: 265,732.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,163 : 122,165.25 = 122,165.25 : x
  2. Step 2: Convert to fraction form
    56,163/122,165.25 = 122,165.25/x
  3. Step 3: Cross multiply
    56,163x = 122,165.25 × 122,165.25
  4. Step 4: Simplify right side
    56,163x = 14,924,348,307.56
  5. Step 5: Solve for x
    x = 14,924,348,307.56/56,163
  6. Step 6: Final answer
    x = 265,732.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.