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Finding the Third Proportional to 129,238.50 and 193,083

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Solution

The third proportional to 129,238.50 and 193,083 is: 288,467.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,238.50 : 193,083 = 193,083 : x
  2. Step 2: Convert to fraction form
    129,238.50/193,083 = 193,083/x
  3. Step 3: Cross multiply
    129,238.50x = 193,083 × 193,083
  4. Step 4: Simplify right side
    129,238.50x = 37,281,044,889
  5. Step 5: Solve for x
    x = 37,281,044,889/129,238.50
  6. Step 6: Final answer
    x = 288,467.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.