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Finding the Third Proportional to 58,848 and 129,573

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Solution

The third proportional to 58,848 and 129,573 is: 285,297.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,848 : 129,573 = 129,573 : x
  2. Step 2: Convert to fraction form
    58,848/129,573 = 129,573/x
  3. Step 3: Cross multiply
    58,848x = 129,573 × 129,573
  4. Step 4: Simplify right side
    58,848x = 16,789,162,329
  5. Step 5: Solve for x
    x = 16,789,162,329/58,848
  6. Step 6: Final answer
    x = 285,297.08

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.