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Finding the Third Proportional to 56,353 and 114,254

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Solution

The third proportional to 56,353 and 114,254 is: 231,646.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,353 : 114,254 = 114,254 : x
  2. Step 2: Convert to fraction form
    56,353/114,254 = 114,254/x
  3. Step 3: Cross multiply
    56,353x = 114,254 × 114,254
  4. Step 4: Simplify right side
    56,353x = 13,053,976,516
  5. Step 5: Solve for x
    x = 13,053,976,516/56,353
  6. Step 6: Final answer
    x = 231,646.52

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.