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Finding the Third Proportional to 56,900 and 123,182

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Solution

The third proportional to 56,900 and 123,182 is: 266,674.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,900 : 123,182 = 123,182 : x
  2. Step 2: Convert to fraction form
    56,900/123,182 = 123,182/x
  3. Step 3: Cross multiply
    56,900x = 123,182 × 123,182
  4. Step 4: Simplify right side
    56,900x = 15,173,805,124
  5. Step 5: Solve for x
    x = 15,173,805,124/56,900
  6. Step 6: Final answer
    x = 266,674.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.