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Finding the Third Proportional to 144,112.92 and 205,291.34

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Solution

The third proportional to 144,112.92 and 205,291.34 is: 292,441.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,112.92 : 205,291.34 = 205,291.34 : x
  2. Step 2: Convert to fraction form
    144,112.92/205,291.34 = 205,291.34/x
  3. Step 3: Cross multiply
    144,112.92x = 205,291.34 × 205,291.34
  4. Step 4: Simplify right side
    144,112.92x = 42,144,532,611.00
  5. Step 5: Solve for x
    x = 42,144,532,611.00/144,112.92
  6. Step 6: Final answer
    x = 292,441.04

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.