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Finding the Third Proportional to 133,177.50 and 187,339.50

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Solution

The third proportional to 133,177.50 and 187,339.50 is: 263,528.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,177.50 : 187,339.50 = 187,339.50 : x
  2. Step 2: Convert to fraction form
    133,177.50/187,339.50 = 187,339.50/x
  3. Step 3: Cross multiply
    133,177.50x = 187,339.50 × 187,339.50
  4. Step 4: Simplify right side
    133,177.50x = 35,096,088,260.25
  5. Step 5: Solve for x
    x = 35,096,088,260.25/133,177.50
  6. Step 6: Final answer
    x = 263,528.66

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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.