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Finding the Third Proportional to 54,840 and 82,860

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Solution

The third proportional to 54,840 and 82,860 is: 125,196.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,840 : 82,860 = 82,860 : x
  2. Step 2: Convert to fraction form
    54,840/82,860 = 82,860/x
  3. Step 3: Cross multiply
    54,840x = 82,860 × 82,860
  4. Step 4: Simplify right side
    54,840x = 6,865,779,600
  5. Step 5: Solve for x
    x = 6,865,779,600/54,840
  6. Step 6: Final answer
    x = 125,196.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.