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Finding the Third Proportional to 84,229 and 180,121

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Solution

The third proportional to 84,229 and 180,121 is: 385,182.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,229 : 180,121 = 180,121 : x
  2. Step 2: Convert to fraction form
    84,229/180,121 = 180,121/x
  3. Step 3: Cross multiply
    84,229x = 180,121 × 180,121
  4. Step 4: Simplify right side
    84,229x = 32,443,574,641
  5. Step 5: Solve for x
    x = 32,443,574,641/84,229
  6. Step 6: Final answer
    x = 385,182.95

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.