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Finding the Third Proportional to 51,063 and 109,524

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Solution

The third proportional to 51,063 and 109,524 is: 234,915.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,063 : 109,524 = 109,524 : x
  2. Step 2: Convert to fraction form
    51,063/109,524 = 109,524/x
  3. Step 3: Cross multiply
    51,063x = 109,524 × 109,524
  4. Step 4: Simplify right side
    51,063x = 11,995,506,576
  5. Step 5: Solve for x
    x = 11,995,506,576/51,063
  6. Step 6: Final answer
    x = 234,915.82

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.