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Finding the Third Proportional to 58,249.13 and 120,214.13

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Solution

The third proportional to 58,249.13 and 120,214.13 is: 248,097.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,249.13 : 120,214.13 = 120,214.13 : x
  2. Step 2: Convert to fraction form
    58,249.13/120,214.13 = 120,214.13/x
  3. Step 3: Cross multiply
    58,249.13x = 120,214.13 × 120,214.13
  4. Step 4: Simplify right side
    58,249.13x = 14,451,435,849.52
  5. Step 5: Solve for x
    x = 14,451,435,849.52/58,249.13
  6. Step 6: Final answer
    x = 248,097.05

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.