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Finding the Third Proportional to 57,056.38 and 123,134.06

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Solution

The third proportional to 57,056.38 and 123,134.06 is: 265,737.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,056.38 : 123,134.06 = 123,134.06 : x
  2. Step 2: Convert to fraction form
    57,056.38/123,134.06 = 123,134.06/x
  3. Step 3: Cross multiply
    57,056.38x = 123,134.06 × 123,134.06
  4. Step 4: Simplify right side
    57,056.38x = 15,161,997,347.75
  5. Step 5: Solve for x
    x = 15,161,997,347.75/57,056.38
  6. Step 6: Final answer
    x = 265,737.13

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.