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Finding the Third Proportional to 60,561 and 140,737.50

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Solution

The third proportional to 60,561 and 140,737.50 is: 327,059.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,561 : 140,737.50 = 140,737.50 : x
  2. Step 2: Convert to fraction form
    60,561/140,737.50 = 140,737.50/x
  3. Step 3: Cross multiply
    60,561x = 140,737.50 × 140,737.50
  4. Step 4: Simplify right side
    60,561x = 19,807,043,906.25
  5. Step 5: Solve for x
    x = 19,807,043,906.25/60,561
  6. Step 6: Final answer
    x = 327,059.39

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.