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Finding the Third Proportional to 84,672 and 180,591

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Solution

The third proportional to 84,672 and 180,591 is: 385,169.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,672 : 180,591 = 180,591 : x
  2. Step 2: Convert to fraction form
    84,672/180,591 = 180,591/x
  3. Step 3: Cross multiply
    84,672x = 180,591 × 180,591
  4. Step 4: Simplify right side
    84,672x = 32,613,109,281
  5. Step 5: Solve for x
    x = 32,613,109,281/84,672
  6. Step 6: Final answer
    x = 385,169.94

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.