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Finding the Third Proportional to 84,176 and 180,026

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Solution

The third proportional to 84,176 and 180,026 is: 385,019.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,176 : 180,026 = 180,026 : x
  2. Step 2: Convert to fraction form
    84,176/180,026 = 180,026/x
  3. Step 3: Cross multiply
    84,176x = 180,026 × 180,026
  4. Step 4: Simplify right side
    84,176x = 32,409,360,676
  5. Step 5: Solve for x
    x = 32,409,360,676/84,176
  6. Step 6: Final answer
    x = 385,019.02

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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.