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Finding the Third Proportional to 60,473 and 131,302

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Solution

The third proportional to 60,473 and 131,302 is: 285,089.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,473 : 131,302 = 131,302 : x
  2. Step 2: Convert to fraction form
    60,473/131,302 = 131,302/x
  3. Step 3: Cross multiply
    60,473x = 131,302 × 131,302
  4. Step 4: Simplify right side
    60,473x = 17,240,215,204
  5. Step 5: Solve for x
    x = 17,240,215,204/60,473
  6. Step 6: Final answer
    x = 285,089.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.