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Finding the Third Proportional to 57,618 and 123,220

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Solution

The third proportional to 57,618 and 123,220 is: 263,514.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,618 : 123,220 = 123,220 : x
  2. Step 2: Convert to fraction form
    57,618/123,220 = 123,220/x
  3. Step 3: Cross multiply
    57,618x = 123,220 × 123,220
  4. Step 4: Simplify right side
    57,618x = 15,183,168,400
  5. Step 5: Solve for x
    x = 15,183,168,400/57,618
  6. Step 6: Final answer
    x = 263,514.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.