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Finding the Third Proportional to 59,412 and 123,723

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Solution

The third proportional to 59,412 and 123,723 is: 257,647.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,412 : 123,723 = 123,723 : x
  2. Step 2: Convert to fraction form
    59,412/123,723 = 123,723/x
  3. Step 3: Cross multiply
    59,412x = 123,723 × 123,723
  4. Step 4: Simplify right side
    59,412x = 15,307,380,729
  5. Step 5: Solve for x
    x = 15,307,380,729/59,412
  6. Step 6: Final answer
    x = 257,647.96

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.