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Finding the Third Proportional to 84,195 and 180,065

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Solution

The third proportional to 84,195 and 180,065 is: 385,098.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,195 : 180,065 = 180,065 : x
  2. Step 2: Convert to fraction form
    84,195/180,065 = 180,065/x
  3. Step 3: Cross multiply
    84,195x = 180,065 × 180,065
  4. Step 4: Simplify right side
    84,195x = 32,423,404,225
  5. Step 5: Solve for x
    x = 32,423,404,225/84,195
  6. Step 6: Final answer
    x = 385,098.93

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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.