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Finding the Third Proportional to 64,034.25 and 102,885.56

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Solution

The third proportional to 64,034.25 and 102,885.56 is: 165,309.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,034.25 : 102,885.56 = 102,885.56 : x
  2. Step 2: Convert to fraction form
    64,034.25/102,885.56 = 102,885.56/x
  3. Step 3: Cross multiply
    64,034.25x = 102,885.56 × 102,885.56
  4. Step 4: Simplify right side
    64,034.25x = 10,585,438,970.94
  5. Step 5: Solve for x
    x = 10,585,438,970.94/64,034.25
  6. Step 6: Final answer
    x = 165,309.02

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.