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Finding the Third Proportional to 58,536.42 and 120,020.17

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Solution

The third proportional to 58,536.42 and 120,020.17 is: 246,083.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,536.42 : 120,020.17 = 120,020.17 : x
  2. Step 2: Convert to fraction form
    58,536.42/120,020.17 = 120,020.17/x
  3. Step 3: Cross multiply
    58,536.42x = 120,020.17 × 120,020.17
  4. Step 4: Simplify right side
    58,536.42x = 14,404,840,719.25
  5. Step 5: Solve for x
    x = 14,404,840,719.25/58,536.42
  6. Step 6: Final answer
    x = 246,083.38

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.