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Finding the Third Proportional to 71,568.14 and 110,872.13

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Solution

The third proportional to 71,568.14 and 110,872.13 is: 171,761.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,568.14 : 110,872.13 = 110,872.13 : x
  2. Step 2: Convert to fraction form
    71,568.14/110,872.13 = 110,872.13/x
  3. Step 3: Cross multiply
    71,568.14x = 110,872.13 × 110,872.13
  4. Step 4: Simplify right side
    71,568.14x = 12,292,628,102.02
  5. Step 5: Solve for x
    x = 12,292,628,102.02/71,568.14
  6. Step 6: Final answer
    x = 171,761.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.