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Finding the Third Proportional to 75,418.13 and 111,367.13

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Solution

The third proportional to 75,418.13 and 111,367.13 is: 164,451.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,418.13 : 111,367.13 = 111,367.13 : x
  2. Step 2: Convert to fraction form
    75,418.13/111,367.13 = 111,367.13/x
  3. Step 3: Cross multiply
    75,418.13x = 111,367.13 × 111,367.13
  4. Step 4: Simplify right side
    75,418.13x = 12,402,636,530.77
  5. Step 5: Solve for x
    x = 12,402,636,530.77/75,418.13
  6. Step 6: Final answer
    x = 164,451.67

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.