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Finding the Third Proportional to 66,042.84 and 142,853.63

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Solution

The third proportional to 66,042.84 and 142,853.63 is: 308,998.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,042.84 : 142,853.63 = 142,853.63 : x
  2. Step 2: Convert to fraction form
    66,042.84/142,853.63 = 142,853.63/x
  3. Step 3: Cross multiply
    66,042.84x = 142,853.63 × 142,853.63
  4. Step 4: Simplify right side
    66,042.84x = 20,407,158,175.64
  5. Step 5: Solve for x
    x = 20,407,158,175.64/66,042.84
  6. Step 6: Final answer
    x = 308,998.78

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.