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Finding the Third Proportional to 75,664.13 and 113,599.13

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Solution

The third proportional to 75,664.13 and 113,599.13 is: 170,553.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,664.13 : 113,599.13 = 113,599.13 : x
  2. Step 2: Convert to fraction form
    75,664.13/113,599.13 = 113,599.13/x
  3. Step 3: Cross multiply
    75,664.13x = 113,599.13 × 113,599.13
  4. Step 4: Simplify right side
    75,664.13x = 12,904,761,200.77
  5. Step 5: Solve for x
    x = 12,904,761,200.77/75,664.13
  6. Step 6: Final answer
    x = 170,553.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.