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Finding the Third Proportional to 61,168.50 and 134,754.50

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Solution

The third proportional to 61,168.50 and 134,754.50 is: 296,864.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,168.50 : 134,754.50 = 134,754.50 : x
  2. Step 2: Convert to fraction form
    61,168.50/134,754.50 = 134,754.50/x
  3. Step 3: Cross multiply
    61,168.50x = 134,754.50 × 134,754.50
  4. Step 4: Simplify right side
    61,168.50x = 18,158,775,270.25
  5. Step 5: Solve for x
    x = 18,158,775,270.25/61,168.50
  6. Step 6: Final answer
    x = 296,864.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.