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Finding the Third Proportional to 56,815 and 123,606

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Solution

The third proportional to 56,815 and 123,606 is: 268,915.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,815 : 123,606 = 123,606 : x
  2. Step 2: Convert to fraction form
    56,815/123,606 = 123,606/x
  3. Step 3: Cross multiply
    56,815x = 123,606 × 123,606
  4. Step 4: Simplify right side
    56,815x = 15,278,443,236
  5. Step 5: Solve for x
    x = 15,278,443,236/56,815
  6. Step 6: Final answer
    x = 268,915.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.