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Finding the Third Proportional to 67,138.50 and 94,114.50

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Solution

The third proportional to 67,138.50 and 94,114.50 is: 131,929.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,138.50 : 94,114.50 = 94,114.50 : x
  2. Step 2: Convert to fraction form
    67,138.50/94,114.50 = 94,114.50/x
  3. Step 3: Cross multiply
    67,138.50x = 94,114.50 × 94,114.50
  4. Step 4: Simplify right side
    67,138.50x = 8,857,539,110.25
  5. Step 5: Solve for x
    x = 8,857,539,110.25/67,138.50
  6. Step 6: Final answer
    x = 131,929.36

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.