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Finding the Third Proportional to 61,753.50 and 134,923.50

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Solution

The third proportional to 61,753.50 and 134,923.50 is: 294,790.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,753.50 : 134,923.50 = 134,923.50 : x
  2. Step 2: Convert to fraction form
    61,753.50/134,923.50 = 134,923.50/x
  3. Step 3: Cross multiply
    61,753.50x = 134,923.50 × 134,923.50
  4. Step 4: Simplify right side
    61,753.50x = 18,204,350,852.25
  5. Step 5: Solve for x
    x = 18,204,350,852.25/61,753.50
  6. Step 6: Final answer
    x = 294,790.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.