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Finding the Third Proportional to 70,588.88 and 106,039.69

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Solution

The third proportional to 70,588.88 and 106,039.69 is: 159,294.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,588.88 : 106,039.69 = 106,039.69 : x
  2. Step 2: Convert to fraction form
    70,588.88/106,039.69 = 106,039.69/x
  3. Step 3: Cross multiply
    70,588.88x = 106,039.69 × 106,039.69
  4. Step 4: Simplify right side
    70,588.88x = 11,244,415,325.10
  5. Step 5: Solve for x
    x = 11,244,415,325.10/70,588.88
  6. Step 6: Final answer
    x = 159,294.44

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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.