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Finding the Third Proportional to 44,658 and 76,059

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Solution

The third proportional to 44,658 and 76,059 is: 129,539.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,658 : 76,059 = 76,059 : x
  2. Step 2: Convert to fraction form
    44,658/76,059 = 76,059/x
  3. Step 3: Cross multiply
    44,658x = 76,059 × 76,059
  4. Step 4: Simplify right side
    44,658x = 5,784,971,481
  5. Step 5: Solve for x
    x = 5,784,971,481/44,658
  6. Step 6: Final answer
    x = 129,539.42

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.