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Finding the Third Proportional to 64,177 and 140,754

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Solution

The third proportional to 64,177 and 140,754 is: 308,703.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,177 : 140,754 = 140,754 : x
  2. Step 2: Convert to fraction form
    64,177/140,754 = 140,754/x
  3. Step 3: Cross multiply
    64,177x = 140,754 × 140,754
  4. Step 4: Simplify right side
    64,177x = 19,811,688,516
  5. Step 5: Solve for x
    x = 19,811,688,516/64,177
  6. Step 6: Final answer
    x = 308,703.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.