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Finding the Third Proportional to 56,512.69 and 86,796.56

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Solution

The third proportional to 56,512.69 and 86,796.56 is: 133,308.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,512.69 : 86,796.56 = 86,796.56 : x
  2. Step 2: Convert to fraction form
    56,512.69/86,796.56 = 86,796.56/x
  3. Step 3: Cross multiply
    56,512.69x = 86,796.56 × 86,796.56
  4. Step 4: Simplify right side
    56,512.69x = 7,533,643,261.82
  5. Step 5: Solve for x
    x = 7,533,643,261.82/56,512.69
  6. Step 6: Final answer
    x = 133,308.88

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.