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Finding the Third Proportional to 42,252.19 and 85,671.14

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Solution

The third proportional to 42,252.19 and 85,671.14 is: 173,708.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,252.19 : 85,671.14 = 85,671.14 : x
  2. Step 2: Convert to fraction form
    42,252.19/85,671.14 = 85,671.14/x
  3. Step 3: Cross multiply
    42,252.19x = 85,671.14 × 85,671.14
  4. Step 4: Simplify right side
    42,252.19x = 7,339,544,335.99
  5. Step 5: Solve for x
    x = 7,339,544,335.99/42,252.19
  6. Step 6: Final answer
    x = 173,708.03

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.