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Finding the Third Proportional to 59,117.34 and 120,996.91

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Solution

The third proportional to 59,117.34 and 120,996.91 is: 247,647.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,117.34 : 120,996.91 = 120,996.91 : x
  2. Step 2: Convert to fraction form
    59,117.34/120,996.91 = 120,996.91/x
  3. Step 3: Cross multiply
    59,117.34x = 120,996.91 × 120,996.91
  4. Step 4: Simplify right side
    59,117.34x = 14,640,253,212.65
  5. Step 5: Solve for x
    x = 14,640,253,212.65/59,117.34
  6. Step 6: Final answer
    x = 247,647.34

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