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Finding the Third Proportional to 57,452.63 and 85,831.31

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Solution

The third proportional to 57,452.63 and 85,831.31 is: 128,227.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,452.63 : 85,831.31 = 85,831.31 : x
  2. Step 2: Convert to fraction form
    57,452.63/85,831.31 = 85,831.31/x
  3. Step 3: Cross multiply
    57,452.63x = 85,831.31 × 85,831.31
  4. Step 4: Simplify right side
    57,452.63x = 7,367,014,205.47
  5. Step 5: Solve for x
    x = 7,367,014,205.47/57,452.63
  6. Step 6: Final answer
    x = 128,227.63

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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.