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Finding the Third Proportional to 42,671.81 and 88,100.06

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Solution

The third proportional to 42,671.81 and 88,100.06 is: 181,891.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,671.81 : 88,100.06 = 88,100.06 : x
  2. Step 2: Convert to fraction form
    42,671.81/88,100.06 = 88,100.06/x
  3. Step 3: Cross multiply
    42,671.81x = 88,100.06 × 88,100.06
  4. Step 4: Simplify right side
    42,671.81x = 7,761,621,012.50
  5. Step 5: Solve for x
    x = 7,761,621,012.50/42,671.81
  6. Step 6: Final answer
    x = 181,891.06

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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.