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Finding the Third Proportional to 120,448.69 and 162,244.69

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Solution

The third proportional to 120,448.69 and 162,244.69 is: 218,544.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,448.69 : 162,244.69 = 162,244.69 : x
  2. Step 2: Convert to fraction form
    120,448.69/162,244.69 = 162,244.69/x
  3. Step 3: Cross multiply
    120,448.69x = 162,244.69 × 162,244.69
  4. Step 4: Simplify right side
    120,448.69x = 26,323,338,621.97
  5. Step 5: Solve for x
    x = 26,323,338,621.97/120,448.69
  6. Step 6: Final answer
    x = 218,544.01

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.