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Finding the Third Proportional to 56,489.63 and 125,372.25

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Solution

The third proportional to 56,489.63 and 125,372.25 is: 278,249.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,489.63 : 125,372.25 = 125,372.25 : x
  2. Step 2: Convert to fraction form
    56,489.63/125,372.25 = 125,372.25/x
  3. Step 3: Cross multiply
    56,489.63x = 125,372.25 × 125,372.25
  4. Step 4: Simplify right side
    56,489.63x = 15,718,201,070.06
  5. Step 5: Solve for x
    x = 15,718,201,070.06/56,489.63
  6. Step 6: Final answer
    x = 278,249.34

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.