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Finding the Third Proportional to 64,801.50 and 132,831.38

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Solution

The third proportional to 64,801.50 and 132,831.38 is: 272,280.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,801.50 : 132,831.38 = 132,831.38 : x
  2. Step 2: Convert to fraction form
    64,801.50/132,831.38 = 132,831.38/x
  3. Step 3: Cross multiply
    64,801.50x = 132,831.38 × 132,831.38
  4. Step 4: Simplify right side
    64,801.50x = 17,644,174,184.39
  5. Step 5: Solve for x
    x = 17,644,174,184.39/64,801.50
  6. Step 6: Final answer
    x = 272,280.34

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.