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Finding the Third Proportional to 84,954.38 and 134,964.56

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Solution

The third proportional to 84,954.38 and 134,964.56 is: 214,414.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,954.38 : 134,964.56 = 134,964.56 : x
  2. Step 2: Convert to fraction form
    84,954.38/134,964.56 = 134,964.56/x
  3. Step 3: Cross multiply
    84,954.38x = 134,964.56 × 134,964.56
  4. Step 4: Simplify right side
    84,954.38x = 18,215,433,130.82
  5. Step 5: Solve for x
    x = 18,215,433,130.82/84,954.38
  6. Step 6: Final answer
    x = 214,414.30

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.