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Finding the Third Proportional to 68,953.50 and 102,134.25

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Solution

The third proportional to 68,953.50 and 102,134.25 is: 151,281.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,953.50 : 102,134.25 = 102,134.25 : x
  2. Step 2: Convert to fraction form
    68,953.50/102,134.25 = 102,134.25/x
  3. Step 3: Cross multiply
    68,953.50x = 102,134.25 × 102,134.25
  4. Step 4: Simplify right side
    68,953.50x = 10,431,405,023.06
  5. Step 5: Solve for x
    x = 10,431,405,023.06/68,953.50
  6. Step 6: Final answer
    x = 151,281.73

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.