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Finding the Third Proportional to 132,972 and 204,376

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Solution

The third proportional to 132,972 and 204,376 is: 314,122.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,972 : 204,376 = 204,376 : x
  2. Step 2: Convert to fraction form
    132,972/204,376 = 204,376/x
  3. Step 3: Cross multiply
    132,972x = 204,376 × 204,376
  4. Step 4: Simplify right side
    132,972x = 41,769,549,376
  5. Step 5: Solve for x
    x = 41,769,549,376/132,972
  6. Step 6: Final answer
    x = 314,122.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.