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Finding the Third Proportional to 57,533.06 and 123,062.63

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Solution

The third proportional to 57,533.06 and 123,062.63 is: 263,229.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,533.06 : 123,062.63 = 123,062.63 : x
  2. Step 2: Convert to fraction form
    57,533.06/123,062.63 = 123,062.63/x
  3. Step 3: Cross multiply
    57,533.06x = 123,062.63 × 123,062.63
  4. Step 4: Simplify right side
    57,533.06x = 15,144,409,671.89
  5. Step 5: Solve for x
    x = 15,144,409,671.89/57,533.06
  6. Step 6: Final answer
    x = 263,229.68

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.