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Finding the Third Proportional to 129,604.50 and 185,334.50

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Solution

The third proportional to 129,604.50 and 185,334.50 is: 265,028.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,604.50 : 185,334.50 = 185,334.50 : x
  2. Step 2: Convert to fraction form
    129,604.50/185,334.50 = 185,334.50/x
  3. Step 3: Cross multiply
    129,604.50x = 185,334.50 × 185,334.50
  4. Step 4: Simplify right side
    129,604.50x = 34,348,876,890.25
  5. Step 5: Solve for x
    x = 34,348,876,890.25/129,604.50
  6. Step 6: Final answer
    x = 265,028.43

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.