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Finding the Third Proportional to 57,774.94 and 86,273.44

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Solution

The third proportional to 57,774.94 and 86,273.44 is: 128,829.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,774.94 : 86,273.44 = 86,273.44 : x
  2. Step 2: Convert to fraction form
    57,774.94/86,273.44 = 86,273.44/x
  3. Step 3: Cross multiply
    57,774.94x = 86,273.44 × 86,273.44
  4. Step 4: Simplify right side
    57,774.94x = 7,443,106,018.07
  5. Step 5: Solve for x
    x = 7,443,106,018.07/57,774.94
  6. Step 6: Final answer
    x = 128,829.32

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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.