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Finding the Third Proportional to 56,095.03 and 120,072.38

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Solution

The third proportional to 56,095.03 and 120,072.38 is: 257,016.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,095.03 : 120,072.38 = 120,072.38 : x
  2. Step 2: Convert to fraction form
    56,095.03/120,072.38 = 120,072.38/x
  3. Step 3: Cross multiply
    56,095.03x = 120,072.38 × 120,072.38
  4. Step 4: Simplify right side
    56,095.03x = 14,417,375,238.14
  5. Step 5: Solve for x
    x = 14,417,375,238.14/56,095.03
  6. Step 6: Final answer
    x = 257,016.97

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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.