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Finding the Third Proportional to 133,984 and 184,572

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Solution

The third proportional to 133,984 and 184,572 is: 254,260.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,984 : 184,572 = 184,572 : x
  2. Step 2: Convert to fraction form
    133,984/184,572 = 184,572/x
  3. Step 3: Cross multiply
    133,984x = 184,572 × 184,572
  4. Step 4: Simplify right side
    133,984x = 34,066,823,184
  5. Step 5: Solve for x
    x = 34,066,823,184/133,984
  6. Step 6: Final answer
    x = 254,260.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.