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Finding the Third Proportional to 123,472 and 184,395

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Solution

The third proportional to 123,472 and 184,395 is: 275,378.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,472 : 184,395 = 184,395 : x
  2. Step 2: Convert to fraction form
    123,472/184,395 = 184,395/x
  3. Step 3: Cross multiply
    123,472x = 184,395 × 184,395
  4. Step 4: Simplify right side
    123,472x = 34,001,516,025
  5. Step 5: Solve for x
    x = 34,001,516,025/123,472
  6. Step 6: Final answer
    x = 275,378.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.