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Finding the Third Proportional to 46,123 and 62,599

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Solution

The third proportional to 46,123 and 62,599 is: 84,960.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,123 : 62,599 = 62,599 : x
  2. Step 2: Convert to fraction form
    46,123/62,599 = 62,599/x
  3. Step 3: Cross multiply
    46,123x = 62,599 × 62,599
  4. Step 4: Simplify right side
    46,123x = 3,918,634,801
  5. Step 5: Solve for x
    x = 3,918,634,801/46,123
  6. Step 6: Final answer
    x = 84,960.54

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.