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Finding the Third Proportional to 55,185 and 87,441

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Solution

The third proportional to 55,185 and 87,441 is: 138,550.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,185 : 87,441 = 87,441 : x
  2. Step 2: Convert to fraction form
    55,185/87,441 = 87,441/x
  3. Step 3: Cross multiply
    55,185x = 87,441 × 87,441
  4. Step 4: Simplify right side
    55,185x = 7,645,928,481
  5. Step 5: Solve for x
    x = 7,645,928,481/55,185
  6. Step 6: Final answer
    x = 138,550.85

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.