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Finding the Third Proportional to 133,313 and 187,495

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Solution

The third proportional to 133,313 and 187,495 is: 263,698.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,313 : 187,495 = 187,495 : x
  2. Step 2: Convert to fraction form
    133,313/187,495 = 187,495/x
  3. Step 3: Cross multiply
    133,313x = 187,495 × 187,495
  4. Step 4: Simplify right side
    133,313x = 35,154,375,025
  5. Step 5: Solve for x
    x = 35,154,375,025/133,313
  6. Step 6: Final answer
    x = 263,698.03

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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.