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Finding the Third Proportional to 57,666.94 and 123,955.88

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Solution

The third proportional to 57,666.94 and 123,955.88 is: 266,444.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,666.94 : 123,955.88 = 123,955.88 : x
  2. Step 2: Convert to fraction form
    57,666.94/123,955.88 = 123,955.88/x
  3. Step 3: Cross multiply
    57,666.94x = 123,955.88 × 123,955.88
  4. Step 4: Simplify right side
    57,666.94x = 15,365,058,947.02
  5. Step 5: Solve for x
    x = 15,365,058,947.02/57,666.94
  6. Step 6: Final answer
    x = 266,444.86

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.