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Finding the Third Proportional to 56,817 and 123,462

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Solution

The third proportional to 56,817 and 123,462 is: 268,280.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,817 : 123,462 = 123,462 : x
  2. Step 2: Convert to fraction form
    56,817/123,462 = 123,462/x
  3. Step 3: Cross multiply
    56,817x = 123,462 × 123,462
  4. Step 4: Simplify right side
    56,817x = 15,242,865,444
  5. Step 5: Solve for x
    x = 15,242,865,444/56,817
  6. Step 6: Final answer
    x = 268,280.01

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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.