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Finding the Third Proportional to 56,404.13 and 125,416.13

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Solution

The third proportional to 56,404.13 and 125,416.13 is: 278,866.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,404.13 : 125,416.13 = 125,416.13 : x
  2. Step 2: Convert to fraction form
    56,404.13/125,416.13 = 125,416.13/x
  3. Step 3: Cross multiply
    56,404.13x = 125,416.13 × 125,416.13
  4. Step 4: Simplify right side
    56,404.13x = 15,729,204,410.02
  5. Step 5: Solve for x
    x = 15,729,204,410.02/56,404.13
  6. Step 6: Final answer
    x = 278,866.21

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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.