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Finding the Third Proportional to 84,954 and 134,964.50

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Solution

The third proportional to 84,954 and 134,964.50 is: 214,415.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,954 : 134,964.50 = 134,964.50 : x
  2. Step 2: Convert to fraction form
    84,954/134,964.50 = 134,964.50/x
  3. Step 3: Cross multiply
    84,954x = 134,964.50 × 134,964.50
  4. Step 4: Simplify right side
    84,954x = 18,215,416,260.25
  5. Step 5: Solve for x
    x = 18,215,416,260.25/84,954
  6. Step 6: Final answer
    x = 214,415.05

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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.