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Finding the Third Proportional to 84,135 and 184,065

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Solution

The third proportional to 84,135 and 184,065 is: 402,685.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,135 : 184,065 = 184,065 : x
  2. Step 2: Convert to fraction form
    84,135/184,065 = 184,065/x
  3. Step 3: Cross multiply
    84,135x = 184,065 × 184,065
  4. Step 4: Simplify right side
    84,135x = 33,879,924,225
  5. Step 5: Solve for x
    x = 33,879,924,225/84,135
  6. Step 6: Final answer
    x = 402,685.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.