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Finding the Third Proportional to 62,026 and 135,850

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Solution

The third proportional to 62,026 and 135,850 is: 297,540.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,026 : 135,850 = 135,850 : x
  2. Step 2: Convert to fraction form
    62,026/135,850 = 135,850/x
  3. Step 3: Cross multiply
    62,026x = 135,850 × 135,850
  4. Step 4: Simplify right side
    62,026x = 18,455,222,500
  5. Step 5: Solve for x
    x = 18,455,222,500/62,026
  6. Step 6: Final answer
    x = 297,540.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.