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Finding the Third Proportional to 64,325.35 and 138,597.92

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Solution

The third proportional to 64,325.35 and 138,597.92 is: 298,628.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,325.35 : 138,597.92 = 138,597.92 : x
  2. Step 2: Convert to fraction form
    64,325.35/138,597.92 = 138,597.92/x
  3. Step 3: Cross multiply
    64,325.35x = 138,597.92 × 138,597.92
  4. Step 4: Simplify right side
    64,325.35x = 19,209,383,812.72
  5. Step 5: Solve for x
    x = 19,209,383,812.72/64,325.35
  6. Step 6: Final answer
    x = 298,628.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.