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Finding the Third Proportional to 57,828.44 and 86,262.94

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Solution

The third proportional to 57,828.44 and 86,262.94 is: 128,678.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,828.44 : 86,262.94 = 86,262.94 : x
  2. Step 2: Convert to fraction form
    57,828.44/86,262.94 = 86,262.94/x
  3. Step 3: Cross multiply
    57,828.44x = 86,262.94 × 86,262.94
  4. Step 4: Simplify right side
    57,828.44x = 7,441,294,386.13
  5. Step 5: Solve for x
    x = 7,441,294,386.13/57,828.44
  6. Step 6: Final answer
    x = 128,678.81

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.