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Finding the Third Proportional to 43,702 and 93,123

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Solution

The third proportional to 43,702 and 93,123 is: 198,432.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,702 : 93,123 = 93,123 : x
  2. Step 2: Convert to fraction form
    43,702/93,123 = 93,123/x
  3. Step 3: Cross multiply
    43,702x = 93,123 × 93,123
  4. Step 4: Simplify right side
    43,702x = 8,671,893,129
  5. Step 5: Solve for x
    x = 8,671,893,129/43,702
  6. Step 6: Final answer
    x = 198,432.41

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.