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Finding the Third Proportional to 84,068 and 184,516

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Solution

The third proportional to 84,068 and 184,516 is: 404,983.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,068 : 184,516 = 184,516 : x
  2. Step 2: Convert to fraction form
    84,068/184,516 = 184,516/x
  3. Step 3: Cross multiply
    84,068x = 184,516 × 184,516
  4. Step 4: Simplify right side
    84,068x = 34,046,154,256
  5. Step 5: Solve for x
    x = 34,046,154,256/84,068
  6. Step 6: Final answer
    x = 404,983.52

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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.