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Finding the Third Proportional to 132,273 and 188,487

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Solution

The third proportional to 132,273 and 188,487 is: 268,591.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,273 : 188,487 = 188,487 : x
  2. Step 2: Convert to fraction form
    132,273/188,487 = 188,487/x
  3. Step 3: Cross multiply
    132,273x = 188,487 × 188,487
  4. Step 4: Simplify right side
    132,273x = 35,527,349,169
  5. Step 5: Solve for x
    x = 35,527,349,169/132,273
  6. Step 6: Final answer
    x = 268,591.09

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.