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Finding the Third Proportional to 57,548 and 123,091

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Solution

The third proportional to 57,548 and 123,091 is: 263,282.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,548 : 123,091 = 123,091 : x
  2. Step 2: Convert to fraction form
    57,548/123,091 = 123,091/x
  3. Step 3: Cross multiply
    57,548x = 123,091 × 123,091
  4. Step 4: Simplify right side
    57,548x = 15,151,394,281
  5. Step 5: Solve for x
    x = 15,151,394,281/57,548
  6. Step 6: Final answer
    x = 263,282.73

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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.