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Finding the Third Proportional to 114,042 and 164,273

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Solution

The third proportional to 114,042 and 164,273 is: 236,628.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,042 : 164,273 = 164,273 : x
  2. Step 2: Convert to fraction form
    114,042/164,273 = 164,273/x
  3. Step 3: Cross multiply
    114,042x = 164,273 × 164,273
  4. Step 4: Simplify right side
    114,042x = 26,985,618,529
  5. Step 5: Solve for x
    x = 26,985,618,529/114,042
  6. Step 6: Final answer
    x = 236,628.77

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.