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Finding the Third Proportional to 120,070.69 and 261,874.69

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Solution

The third proportional to 120,070.69 and 261,874.69 is: 571,149.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,070.69 : 261,874.69 = 261,874.69 : x
  2. Step 2: Convert to fraction form
    120,070.69/261,874.69 = 261,874.69/x
  3. Step 3: Cross multiply
    120,070.69x = 261,874.69 × 261,874.69
  4. Step 4: Simplify right side
    120,070.69x = 68,578,351,953.22
  5. Step 5: Solve for x
    x = 68,578,351,953.22/120,070.69
  6. Step 6: Final answer
    x = 571,149.82

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.