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Finding the Third Proportional to 51,820 and 107,534

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Solution

The third proportional to 51,820 and 107,534 is: 223,148.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,820 : 107,534 = 107,534 : x
  2. Step 2: Convert to fraction form
    51,820/107,534 = 107,534/x
  3. Step 3: Cross multiply
    51,820x = 107,534 × 107,534
  4. Step 4: Simplify right side
    51,820x = 11,563,561,156
  5. Step 5: Solve for x
    x = 11,563,561,156/51,820
  6. Step 6: Final answer
    x = 223,148.61

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.