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Finding the Third Proportional to 62,131 and 135,130

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Solution

The third proportional to 62,131 and 135,130 is: 293,897.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,131 : 135,130 = 135,130 : x
  2. Step 2: Convert to fraction form
    62,131/135,130 = 135,130/x
  3. Step 3: Cross multiply
    62,131x = 135,130 × 135,130
  4. Step 4: Simplify right side
    62,131x = 18,260,116,900
  5. Step 5: Solve for x
    x = 18,260,116,900/62,131
  6. Step 6: Final answer
    x = 293,897.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.