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Finding the Third Proportional to 123,040 and 184,559

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Solution

The third proportional to 123,040 and 184,559 is: 276,837.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,040 : 184,559 = 184,559 : x
  2. Step 2: Convert to fraction form
    123,040/184,559 = 184,559/x
  3. Step 3: Cross multiply
    123,040x = 184,559 × 184,559
  4. Step 4: Simplify right side
    123,040x = 34,062,024,481
  5. Step 5: Solve for x
    x = 34,062,024,481/123,040
  6. Step 6: Final answer
    x = 276,837.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.