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Finding the Third Proportional to 51,059 and 76,281

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Solution

The third proportional to 51,059 and 76,281 is: 113,962.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,059 : 76,281 = 76,281 : x
  2. Step 2: Convert to fraction form
    51,059/76,281 = 76,281/x
  3. Step 3: Cross multiply
    51,059x = 76,281 × 76,281
  4. Step 4: Simplify right side
    51,059x = 5,818,790,961
  5. Step 5: Solve for x
    x = 5,818,790,961/51,059
  6. Step 6: Final answer
    x = 113,962.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.