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Finding the Third Proportional to 133,004.11 and 186,631.59

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Solution

The third proportional to 133,004.11 and 186,631.59 is: 261,881.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,004.11 : 186,631.59 = 186,631.59 : x
  2. Step 2: Convert to fraction form
    133,004.11/186,631.59 = 186,631.59/x
  3. Step 3: Cross multiply
    133,004.11x = 186,631.59 × 186,631.59
  4. Step 4: Simplify right side
    133,004.11x = 34,831,351,785.67
  5. Step 5: Solve for x
    x = 34,831,351,785.67/133,004.11
  6. Step 6: Final answer
    x = 261,881.77

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.