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Finding the Third Proportional to 55,650 and 114,034.50

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Solution

The third proportional to 55,650 and 114,034.50 is: 233,672.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,650 : 114,034.50 = 114,034.50 : x
  2. Step 2: Convert to fraction form
    55,650/114,034.50 = 114,034.50/x
  3. Step 3: Cross multiply
    55,650x = 114,034.50 × 114,034.50
  4. Step 4: Simplify right side
    55,650x = 13,003,867,190.25
  5. Step 5: Solve for x
    x = 13,003,867,190.25/55,650
  6. Step 6: Final answer
    x = 233,672.37

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.