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Finding the Third Proportional to 133,831.13 and 183,513.38

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Solution

The third proportional to 133,831.13 and 183,513.38 is: 251,639.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,831.13 : 183,513.38 = 183,513.38 : x
  2. Step 2: Convert to fraction form
    133,831.13/183,513.38 = 183,513.38/x
  3. Step 3: Cross multiply
    133,831.13x = 183,513.38 × 183,513.38
  4. Step 4: Simplify right side
    133,831.13x = 33,677,158,803.89
  5. Step 5: Solve for x
    x = 33,677,158,803.89/133,831.13
  6. Step 6: Final answer
    x = 251,639.21

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.