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Finding the Third Proportional to 55,459.69 and 120,214.13

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Solution

The third proportional to 55,459.69 and 120,214.13 is: 260,575.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,459.69 : 120,214.13 = 120,214.13 : x
  2. Step 2: Convert to fraction form
    55,459.69/120,214.13 = 120,214.13/x
  3. Step 3: Cross multiply
    55,459.69x = 120,214.13 × 120,214.13
  4. Step 4: Simplify right side
    55,459.69x = 14,451,435,849.52
  5. Step 5: Solve for x
    x = 14,451,435,849.52/55,459.69
  6. Step 6: Final answer
    x = 260,575.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.