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Finding the Third Proportional to 56,761 and 123,346

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Solution

The third proportional to 56,761 and 123,346 is: 268,040.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,761 : 123,346 = 123,346 : x
  2. Step 2: Convert to fraction form
    56,761/123,346 = 123,346/x
  3. Step 3: Cross multiply
    56,761x = 123,346 × 123,346
  4. Step 4: Simplify right side
    56,761x = 15,214,235,716
  5. Step 5: Solve for x
    x = 15,214,235,716/56,761
  6. Step 6: Final answer
    x = 268,040.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.