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Finding the Third Proportional to 56,474.63 and 117,627.38

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Solution

The third proportional to 56,474.63 and 117,627.38 is: 244,998.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,474.63 : 117,627.38 = 117,627.38 : x
  2. Step 2: Convert to fraction form
    56,474.63/117,627.38 = 117,627.38/x
  3. Step 3: Cross multiply
    56,474.63x = 117,627.38 × 117,627.38
  4. Step 4: Simplify right side
    56,474.63x = 13,836,199,349.39
  5. Step 5: Solve for x
    x = 13,836,199,349.39/56,474.63
  6. Step 6: Final answer
    x = 244,998.52

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.