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Finding the Third Proportional to 49,539 and 76,738

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Solution

The third proportional to 49,539 and 76,738 is: 118,870.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,539 : 76,738 = 76,738 : x
  2. Step 2: Convert to fraction form
    49,539/76,738 = 76,738/x
  3. Step 3: Cross multiply
    49,539x = 76,738 × 76,738
  4. Step 4: Simplify right side
    49,539x = 5,888,720,644
  5. Step 5: Solve for x
    x = 5,888,720,644/49,539
  6. Step 6: Final answer
    x = 118,870.40

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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.