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Finding the Third Proportional to 114,964 and 171,738

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Solution

The third proportional to 114,964 and 171,738 is: 256,549.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,964 : 171,738 = 171,738 : x
  2. Step 2: Convert to fraction form
    114,964/171,738 = 171,738/x
  3. Step 3: Cross multiply
    114,964x = 171,738 × 171,738
  4. Step 4: Simplify right side
    114,964x = 29,493,940,644
  5. Step 5: Solve for x
    x = 29,493,940,644/114,964
  6. Step 6: Final answer
    x = 256,549.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.