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Finding the Third Proportional to 62,337 and 135,123

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Solution

The third proportional to 62,337 and 135,123 is: 292,895.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,337 : 135,123 = 135,123 : x
  2. Step 2: Convert to fraction form
    62,337/135,123 = 135,123/x
  3. Step 3: Cross multiply
    62,337x = 135,123 × 135,123
  4. Step 4: Simplify right side
    62,337x = 18,258,225,129
  5. Step 5: Solve for x
    x = 18,258,225,129/62,337
  6. Step 6: Final answer
    x = 292,895.47

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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.