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Finding the Third Proportional to 55,230 and 82,707

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Solution

The third proportional to 55,230 and 82,707 is: 123,853.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,230 : 82,707 = 82,707 : x
  2. Step 2: Convert to fraction form
    55,230/82,707 = 82,707/x
  3. Step 3: Cross multiply
    55,230x = 82,707 × 82,707
  4. Step 4: Simplify right side
    55,230x = 6,840,447,849
  5. Step 5: Solve for x
    x = 6,840,447,849/55,230
  6. Step 6: Final answer
    x = 123,853.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.