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Finding the Third Proportional to 134,550 and 214,137

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Solution

The third proportional to 134,550 and 214,137 is: 340,800.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,550 : 214,137 = 214,137 : x
  2. Step 2: Convert to fraction form
    134,550/214,137 = 214,137/x
  3. Step 3: Cross multiply
    134,550x = 214,137 × 214,137
  4. Step 4: Simplify right side
    134,550x = 45,854,654,769
  5. Step 5: Solve for x
    x = 45,854,654,769/134,550
  6. Step 6: Final answer
    x = 340,800.11

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.