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Finding the Third Proportional to 125,642 and 296,366

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Solution

The third proportional to 125,642 and 296,366 is: 699,072.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,642 : 296,366 = 296,366 : x
  2. Step 2: Convert to fraction form
    125,642/296,366 = 296,366/x
  3. Step 3: Cross multiply
    125,642x = 296,366 × 296,366
  4. Step 4: Simplify right side
    125,642x = 87,832,805,956
  5. Step 5: Solve for x
    x = 87,832,805,956/125,642
  6. Step 6: Final answer
    x = 699,072.01

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.