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Finding the Third Proportional to 55,811.25 and 86,308.88

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Solution

The third proportional to 55,811.25 and 86,308.88 is: 133,471.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,811.25 : 86,308.88 = 86,308.88 : x
  2. Step 2: Convert to fraction form
    55,811.25/86,308.88 = 86,308.88/x
  3. Step 3: Cross multiply
    55,811.25x = 86,308.88 × 86,308.88
  4. Step 4: Simplify right side
    55,811.25x = 7,449,221,903.77
  5. Step 5: Solve for x
    x = 7,449,221,903.77/55,811.25
  6. Step 6: Final answer
    x = 133,471.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.