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Finding the Third Proportional to 42,714.84 and 88,163.44

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Solution

The third proportional to 42,714.84 and 88,163.44 is: 181,969.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,714.84 : 88,163.44 = 88,163.44 : x
  2. Step 2: Convert to fraction form
    42,714.84/88,163.44 = 88,163.44/x
  3. Step 3: Cross multiply
    42,714.84x = 88,163.44 × 88,163.44
  4. Step 4: Simplify right side
    42,714.84x = 7,772,791,711.82
  5. Step 5: Solve for x
    x = 7,772,791,711.82/42,714.84
  6. Step 6: Final answer
    x = 181,969.34

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.