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Finding the Third Proportional to 55,358.44 and 86,497.56

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Solution

The third proportional to 55,358.44 and 86,497.56 is: 135,152.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,358.44 : 86,497.56 = 86,497.56 : x
  2. Step 2: Convert to fraction form
    55,358.44/86,497.56 = 86,497.56/x
  3. Step 3: Cross multiply
    55,358.44x = 86,497.56 × 86,497.56
  4. Step 4: Simplify right side
    55,358.44x = 7,481,827,642.68
  5. Step 5: Solve for x
    x = 7,481,827,642.68/55,358.44
  6. Step 6: Final answer
    x = 135,152.44

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.