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Finding the Third Proportional to 137,512.50 and 212,744.50

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Solution

The third proportional to 137,512.50 and 212,744.50 is: 329,135.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,512.50 : 212,744.50 = 212,744.50 : x
  2. Step 2: Convert to fraction form
    137,512.50/212,744.50 = 212,744.50/x
  3. Step 3: Cross multiply
    137,512.50x = 212,744.50 × 212,744.50
  4. Step 4: Simplify right side
    137,512.50x = 45,260,222,280.25
  5. Step 5: Solve for x
    x = 45,260,222,280.25/137,512.50
  6. Step 6: Final answer
    x = 329,135.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.