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Finding the Third Proportional to 64,405 and 94,743

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Solution

The third proportional to 64,405 and 94,743 is: 139,371.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,405 : 94,743 = 94,743 : x
  2. Step 2: Convert to fraction form
    64,405/94,743 = 94,743/x
  3. Step 3: Cross multiply
    64,405x = 94,743 × 94,743
  4. Step 4: Simplify right side
    64,405x = 8,976,236,049
  5. Step 5: Solve for x
    x = 8,976,236,049/64,405
  6. Step 6: Final answer
    x = 139,371.73

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.