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Finding the Third Proportional to 86,406.75 and 133,297.88

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Solution

The third proportional to 86,406.75 and 133,297.88 is: 205,635.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,406.75 : 133,297.88 = 133,297.88 : x
  2. Step 2: Convert to fraction form
    86,406.75/133,297.88 = 133,297.88/x
  3. Step 3: Cross multiply
    86,406.75x = 133,297.88 × 133,297.88
  4. Step 4: Simplify right side
    86,406.75x = 17,768,323,479.52
  5. Step 5: Solve for x
    x = 17,768,323,479.52/86,406.75
  6. Step 6: Final answer
    x = 205,635.83

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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.