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Finding the Third Proportional to 57,682.13 and 127,802.81

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Solution

The third proportional to 57,682.13 and 127,802.81 is: 283,165.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,682.13 : 127,802.81 = 127,802.81 : x
  2. Step 2: Convert to fraction form
    57,682.13/127,802.81 = 127,802.81/x
  3. Step 3: Cross multiply
    57,682.13x = 127,802.81 × 127,802.81
  4. Step 4: Simplify right side
    57,682.13x = 16,333,558,882.91
  5. Step 5: Solve for x
    x = 16,333,558,882.91/57,682.13
  6. Step 6: Final answer
    x = 283,165.00

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.