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Finding the Third Proportional to 57,547.13 and 123,087.94

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Solution

The third proportional to 57,547.13 and 123,087.94 is: 263,273.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,547.13 : 123,087.94 = 123,087.94 : x
  2. Step 2: Convert to fraction form
    57,547.13/123,087.94 = 123,087.94/x
  3. Step 3: Cross multiply
    57,547.13x = 123,087.94 × 123,087.94
  4. Step 4: Simplify right side
    57,547.13x = 15,150,640,358.00
  5. Step 5: Solve for x
    x = 15,150,640,358.00/57,547.13
  6. Step 6: Final answer
    x = 263,273.63

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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.