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Finding the Third Proportional to 136,026 and 214,473

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Solution

The third proportional to 136,026 and 214,473 is: 338,160.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,026 : 214,473 = 214,473 : x
  2. Step 2: Convert to fraction form
    136,026/214,473 = 214,473/x
  3. Step 3: Cross multiply
    136,026x = 214,473 × 214,473
  4. Step 4: Simplify right side
    136,026x = 45,998,667,729
  5. Step 5: Solve for x
    x = 45,998,667,729/136,026
  6. Step 6: Final answer
    x = 338,160.85

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.