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Finding the Third Proportional to 56,693 and 123,590

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Solution

The third proportional to 56,693 and 123,590 is: 269,424.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,693 : 123,590 = 123,590 : x
  2. Step 2: Convert to fraction form
    56,693/123,590 = 123,590/x
  3. Step 3: Cross multiply
    56,693x = 123,590 × 123,590
  4. Step 4: Simplify right side
    56,693x = 15,274,488,100
  5. Step 5: Solve for x
    x = 15,274,488,100/56,693
  6. Step 6: Final answer
    x = 269,424.59

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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.