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Finding the Third Proportional to 119,566.13 and 183,115.69

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Solution

The third proportional to 119,566.13 and 183,115.69 is: 280,441.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,566.13 : 183,115.69 = 183,115.69 : x
  2. Step 2: Convert to fraction form
    119,566.13/183,115.69 = 183,115.69/x
  3. Step 3: Cross multiply
    119,566.13x = 183,115.69 × 183,115.69
  4. Step 4: Simplify right side
    119,566.13x = 33,531,355,008.60
  5. Step 5: Solve for x
    x = 33,531,355,008.60/119,566.13
  6. Step 6: Final answer
    x = 280,441.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.