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Finding the Third Proportional to 123,026 and 184,539

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Solution

The third proportional to 123,026 and 184,539 is: 276,808.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,026 : 184,539 = 184,539 : x
  2. Step 2: Convert to fraction form
    123,026/184,539 = 184,539/x
  3. Step 3: Cross multiply
    123,026x = 184,539 × 184,539
  4. Step 4: Simplify right side
    123,026x = 34,054,642,521
  5. Step 5: Solve for x
    x = 34,054,642,521/123,026
  6. Step 6: Final answer
    x = 276,808.50

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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.