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Finding the Third Proportional to 57,386.92 and 123,066.21

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Solution

The third proportional to 57,386.92 and 123,066.21 is: 263,915.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,386.92 : 123,066.21 = 123,066.21 : x
  2. Step 2: Convert to fraction form
    57,386.92/123,066.21 = 123,066.21/x
  3. Step 3: Cross multiply
    57,386.92x = 123,066.21 × 123,066.21
  4. Step 4: Simplify right side
    57,386.92x = 15,145,292,274.51
  5. Step 5: Solve for x
    x = 15,145,292,274.51/57,386.92
  6. Step 6: Final answer
    x = 263,915.42

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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.