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Finding the Third Proportional to 56,015 and 123,072

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Solution

The third proportional to 56,015 and 123,072 is: 270,404.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,015 : 123,072 = 123,072 : x
  2. Step 2: Convert to fraction form
    56,015/123,072 = 123,072/x
  3. Step 3: Cross multiply
    56,015x = 123,072 × 123,072
  4. Step 4: Simplify right side
    56,015x = 15,146,717,184
  5. Step 5: Solve for x
    x = 15,146,717,184/56,015
  6. Step 6: Final answer
    x = 270,404.66

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