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Finding the Third Proportional to 56,788 and 123,519

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Solution

The third proportional to 56,788 and 123,519 is: 268,664.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,788 : 123,519 = 123,519 : x
  2. Step 2: Convert to fraction form
    56,788/123,519 = 123,519/x
  3. Step 3: Cross multiply
    56,788x = 123,519 × 123,519
  4. Step 4: Simplify right side
    56,788x = 15,256,943,361
  5. Step 5: Solve for x
    x = 15,256,943,361/56,788
  6. Step 6: Final answer
    x = 268,664.92

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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.