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Finding the Third Proportional to 119,314.69 and 174,961.69

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Solution

The third proportional to 119,314.69 and 174,961.69 is: 256,561.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,314.69 : 174,961.69 = 174,961.69 : x
  2. Step 2: Convert to fraction form
    119,314.69/174,961.69 = 174,961.69/x
  3. Step 3: Cross multiply
    119,314.69x = 174,961.69 × 174,961.69
  4. Step 4: Simplify right side
    119,314.69x = 30,611,592,092.85
  5. Step 5: Solve for x
    x = 30,611,592,092.85/119,314.69
  6. Step 6: Final answer
    x = 256,561.81

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.