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Finding the Third Proportional to 79,733 and 124,451.50

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Solution

The third proportional to 79,733 and 124,451.50 is: 194,250.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,733 : 124,451.50 = 124,451.50 : x
  2. Step 2: Convert to fraction form
    79,733/124,451.50 = 124,451.50/x
  3. Step 3: Cross multiply
    79,733x = 124,451.50 × 124,451.50
  4. Step 4: Simplify right side
    79,733x = 15,488,175,852.25
  5. Step 5: Solve for x
    x = 15,488,175,852.25/79,733
  6. Step 6: Final answer
    x = 194,250.51

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.