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Finding the Third Proportional to 133,007 and 187,070

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Solution

The third proportional to 133,007 and 187,070 is: 263,107.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,007 : 187,070 = 187,070 : x
  2. Step 2: Convert to fraction form
    133,007/187,070 = 187,070/x
  3. Step 3: Cross multiply
    133,007x = 187,070 × 187,070
  4. Step 4: Simplify right side
    133,007x = 34,995,184,900
  5. Step 5: Solve for x
    x = 34,995,184,900/133,007
  6. Step 6: Final answer
    x = 263,107.84

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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.