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Finding the Third Proportional to 57,728.25 and 86,762.25

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Solution

The third proportional to 57,728.25 and 86,762.25 is: 130,398.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,728.25 : 86,762.25 = 86,762.25 : x
  2. Step 2: Convert to fraction form
    57,728.25/86,762.25 = 86,762.25/x
  3. Step 3: Cross multiply
    57,728.25x = 86,762.25 × 86,762.25
  4. Step 4: Simplify right side
    57,728.25x = 7,527,688,025.06
  5. Step 5: Solve for x
    x = 7,527,688,025.06/57,728.25
  6. Step 6: Final answer
    x = 130,398.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.