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Finding the Third Proportional to 26,127.25 and 57,457.16

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Solution

The third proportional to 26,127.25 and 57,457.16 is: 126,355.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,127.25 : 57,457.16 = 57,457.16 : x
  2. Step 2: Convert to fraction form
    26,127.25/57,457.16 = 57,457.16/x
  3. Step 3: Cross multiply
    26,127.25x = 57,457.16 × 57,457.16
  4. Step 4: Simplify right side
    26,127.25x = 3,301,325,253.22
  5. Step 5: Solve for x
    x = 3,301,325,253.22/26,127.25
  6. Step 6: Final answer
    x = 126,355.65

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.