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Finding the Third Proportional to 56,743 and 123,430

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Solution

The third proportional to 56,743 and 123,430 is: 268,490.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,743 : 123,430 = 123,430 : x
  2. Step 2: Convert to fraction form
    56,743/123,430 = 123,430/x
  3. Step 3: Cross multiply
    56,743x = 123,430 × 123,430
  4. Step 4: Simplify right side
    56,743x = 15,234,964,900
  5. Step 5: Solve for x
    x = 15,234,964,900/56,743
  6. Step 6: Final answer
    x = 268,490.65

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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.