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Finding the Third Proportional to 132,631.49 and 187,490.64

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Solution

The third proportional to 132,631.49 and 187,490.64 is: 265,040.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,631.49 : 187,490.64 = 187,490.64 : x
  2. Step 2: Convert to fraction form
    132,631.49/187,490.64 = 187,490.64/x
  3. Step 3: Cross multiply
    132,631.49x = 187,490.64 × 187,490.64
  4. Step 4: Simplify right side
    132,631.49x = 35,152,738,857.20
  5. Step 5: Solve for x
    x = 35,152,738,857.20/132,631.49
  6. Step 6: Final answer
    x = 265,040.67

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.