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Finding the Third Proportional to 123,315 and 184,989

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Solution

The third proportional to 123,315 and 184,989 is: 277,508.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,315 : 184,989 = 184,989 : x
  2. Step 2: Convert to fraction form
    123,315/184,989 = 184,989/x
  3. Step 3: Cross multiply
    123,315x = 184,989 × 184,989
  4. Step 4: Simplify right side
    123,315x = 34,220,930,121
  5. Step 5: Solve for x
    x = 34,220,930,121/123,315
  6. Step 6: Final answer
    x = 277,508.25

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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.